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Example Questions
Example Question #2851 : Sat Mathematics
If and
, what is
?
Whenever there is a function, all you need to do is plug in the value into the function. Since this is multi-function, whichever answer we get for the inside function, we plug it into the outer function.
;
Example Question #1082 : Algebra
If and
, then what is
?
Whenever there is a function, all you need to do is plug in the value into the function. Since this is multi-function, whichever answer we get for the inside function, we plug it into the outer function.
and
Example Question #1083 : Algebra
If , then what value of
will make
true?
We know and
. Just set them equal to each other.
Subtract
on both sides.
Divide
on both sides.
Example Question #1084 : Algebra
If , then what value of
will make
true?
We know and
. Just set them equal to each other.
Subtract
on both sides.
Take square root on both sides and account for also negative answers.
Example Question #1081 : Algebra
If then what value of
will make
true?
We know that and
. Just set them equal to each other.
Remember to account for negative values.
Subtract
on both sides.
Subtract
on both sides.
Example Question #1082 : Algebra
If and
then what value of
will make
true?
We know so we need to apply substitutions to solve for
.
Subtract
on both sides.
Take square root on both sides and account for negative values.
Example Question #1083 : Algebra
If , then what value of
will make
We know so let's make the substitution.
This is a quadratic so subtract
on both sides.
Factor.
Solve individually.
Example Question #1085 : Algebra
Define .
How can be defined so that
?
By definition,
,
so
If
,
it follows that
,
and, substituting,
Solving for by isolating this expression:
.
Example Question #1086 : Algebra
Define .
How can be defined so that
?
By definition,
,
so
If
,
it follows that
,
and, substituting,
Solving for by isolating this expression:
Taking the square root of both sides:
Either , which is not among the given choices, or
, which is.
Example Question #1087 : Algebra
Define .
How can be defined so that
?
By definition,
,
so
If
,
it follows that
,
and, substituting,
Solving for by isolating this expression:
Applying the Power of a Product Rule:
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