We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Algebra 1 : How to find f(x)

Study concepts, example questions & explanations for Algebra 1

Create An Account

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #31 : How To Find F(X)

Define $f (x) = 3 - \sqrt{x-1}$ and $g\left ( x\right ) = 3 + \sqrt{x-1}$ .

Evaluate $\left (f-g \right ) (17)$ .

Possible Answers:

$\left (f-g \right ) (17)$ is undefined.

Correct answer:

Explanation:

First evaluate f (17) and g(17) , then subtract.

$f (x) = 3 - \sqrt{x-1}$

$f (17) = 3 - \sqrt{17-1} = 3 - \sqrt{16} = 3-4 = -1$

$g\left ( x\right ) = 3 + \sqrt{x-1}$

$g(17) = 3 + \sqrt{17-1} = 3 + \sqrt{16} = 3+4 = 7$

$\left (f-g \right ) (17) = f(17)-g(17) = -1-7 = -8$

Report an Error

Example Question #32 : How To Find F(X)

If f(x) = 2x^2 - 4x +1 , then which of the following is equivalent to f(t + 2) ^?

Possible Answers:

2t^2 + 4t + 17

t^2 + 4t + 1

2t^2 + 4t + 5

2t^2 + 4t + 1

t^2 - 4t + 1

Correct answer:

2t^2 + 4t + 1

Explanation:

Plug in (t+2) for .

f(x) = 2x^2 - 4x +1

x=t+2

f(t+2) = 2(t+2)^2 - 4(t+2) +1

FOIL the squared term and distribute -4:

2(t^2+2t+2t+4)-4t-2+1

Distribute the 2:

2t^2+8t+8-4t-2+1

Combine like terms:

2t^2 + 4t + 1

Report an Error

Example Question #3366 : Algebra 1

Define g (x) = 5x +7 .

If g (A) = 24 , evaluate .

Possible Answers:

A = 3.4

A=6.2

A = 11.8

A=127

A=113

Correct answer:

A = 3.4

Explanation:

Plug in as if it were a constant, and then solve for its value:

g (A) = 5A +7 = 24

5A +7 - 7 = 24-7

5A = 17

$5A \div 5 = 17\div 5$

A = 3.4

Report an Error

Example Question #3367 : Algebra 1

$\left \lceil x \right \rceil$ is defined as the least integer greater than or equal to .

Define $f(x) = \left \lceil x^{2} + x + 2 \right\rceil$ .

Evaluate f(5.5) .

Possible Answers:

f(5.5) = 38

f(5.5) = 33

f(5.5) = 35

f(5.5) = 37

f(5.5) = 32

Correct answer:

f(5.5) = 38

Explanation:

$f(x) = \left \lceil x^{2} + x + 2 \right\rceil$

Plug in 5.5:

$f(5.5) = \left \lceil 5.5^{2} + 5.5 + 2 \right\rceil$

$f(5.5) = \left \lceil 30.25 + 5.5 + 2 \right\rceil$

$f(5.5) = \left \lceil 37.75 \right\rceil = 38$

Report an Error

Example Question #3368 : Algebra 1

$f\left ( x \right ) = \sqrt{x}$

$g\left ( x \right ) = 2x-3$

$h\left ( x \right ) = x^{2}$

Find $f\left ( g\left ( h\left ( x \right ) \right ) \right )$ .

Possible Answers:

$\sqrt{2x^{2}-3}$

2x-3

$\sqrt{x^{3}}$

$2x^{2}-3$

Correct answer:

$\sqrt{2x^{2}-3}$

Explanation:

Plug h(x) into g(x) .

$g\left ( x \right ) =2x-3$

$g\left ( h\left ( x \right ) \right ) = 2\times h(x) - 3 = 2x^{2} - 3$

Now plug that into f(x) :

$f\left ( g\left ( h\left ( x \right ) \right ) \right )= \sqrt{g(h(x))} = \sqrt{2x^{2}-3}$

Report an Error

Example Question #31 : How To Find F(X)

Solve for f(x) . When x=2 .

f(x)=5x^3+2x-24

Possible Answers:

f(x)=10

f(x)=-20

f(x)=14

f(x)=-15

f(x)=20

Correct answer:

f(x)=20

Explanation:

Given the equation,

f(x)=5x^3+2x-24 and x=2

Plug in for to the equation, f(2)=5(2)^3+2(2)-24

Solve and simplify.

f(2)=5(8)+4-24

f(2)=40+4-24

f(2)=44-24

f(2)=20

Report an Error

Example Question #32 : How To Find F(X)

$f(x)=\frac{4x-2}{x+3}, x\neq-3$

Solve for f(x) , when x=0 .

Possible Answers:

$f(x)=\frac{1}{3}$

$f(x)=\frac{-1}{3}$

f(x)=0

$f(x)=\frac{-2}{3}$

$f(x)=\frac{2}{3}$

Correct answer:

$f(x)=\frac{-2}{3}$

Explanation:

$f(x)=\frac{4x-2}{x+3}, x\neq-3$

Plug in the value for .

$f(0)=\frac{4(0)-2}{(0)+3}$

Simplify

$f(0)=\frac{0-2}{3}$

Subtract

$f(0)=\frac{-2}{3}$

Report an Error

Example Question #33 : How To Find F(X)

For the following equation, if x = 2, what is y?

y=x^3-4x+9

Possible Answers:

Correct answer:

Explanation:

On the equation, replace x with 2 and then simplify.

y=x^3-4x+9

y=(2)^3-4(2)+9

y=8-8+9

y=9

Report an Error

Example Question #34 : How To Find F(X)

Solve for f(3) when $f(x)= \frac{x^{2}+12x}{3x}$ .

Possible Answers:

f(3)=16

f(3)=9

f(3)=3

Does not exist

f(3)=5

Correct answer:

f(3)=5

Explanation:

Plug 3 in for x:

$f(3)=\frac{(3^{2})+12*3}{3*3}$

Simplify:

= $\frac{9+36}{9}$

= 5

Report an Error

Example Question #12 : Function Notation

What is f(7) of the following equation?

$f(x)=x^{2}+15x+35$

Possible Answers:

188

190

187

189

Correct answer:

189

Explanation:

To complete an equation with a function, plug the number inside the parentheses into the equation for and solve algebraically.

In this case the $f(7)=7^{2}+(15*7)+35$

Square the 7 and multiply to get f(7)=49+105+35

Add the numbers to get the answer f(7)=189 .

Report an Error

View Algebra Tutors

Philipp
Certified Tutor

University of Nevada-Las Vegas, Bachelor of Science, Mechanical Engineering.

View Algebra Tutors

Vivek
Certified Tutor

University of Virginia-Main Campus, Bachelor of Science, Biology, General.

View Algebra Tutors

Soung
Certified Tutor

University of Chicago, Bachelor in Arts, Chemistry. Northwestern University, Doctor of Science, Molecular Pharmacology.

All Algebra 1 Resources

10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Physics Tutors in Philadelphia, Statistics Tutors in San Francisco-Bay Area, Biology Tutors in Phoenix, ISEE Tutors in San Diego, MCAT Tutors in Washington DC, LSAT Tutors in Chicago, Algebra Tutors in Boston, English Tutors in Chicago, Algebra Tutors in San Francisco-Bay Area, Biology Tutors in New York City

Popular Courses & Classes

MCAT Courses & Classes in Seattle, SAT Courses & Classes in New York City, ISEE Courses & Classes in Miami, ISEE Courses & Classes in Boston, ISEE Courses & Classes in Philadelphia, ISEE Courses & Classes in Houston, Spanish Courses & Classes in Seattle, LSAT Courses & Classes in Chicago, SSAT Courses & Classes in Houston, LSAT Courses & Classes in Denver

Popular Test Prep

SSAT Test Prep in San Francisco-Bay Area, ACT Test Prep in Phoenix, ISEE Test Prep in Atlanta, GMAT Test Prep in Seattle, ACT Test Prep in Houston, MCAT Test Prep in Atlanta, MCAT Test Prep in Denver, GMAT Test Prep in Dallas Fort Worth, MCAT Test Prep in Dallas Fort Worth, GMAT Test Prep in Miami

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Algebra 1 : How to find f(x)

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #31 : How To Find F(X)

Example Question #32 : How To Find F(X)

Example Question #3366 : Algebra 1

Example Question #3367 : Algebra 1

Example Question #3368 : Algebra 1

Example Question #31 : How To Find F(X)

Example Question #32 : How To Find F(X)

Example Question #33 : How To Find F(X)

Example Question #34 : How To Find F(X)

Example Question #12 : Function Notation

All Algebra 1 Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: