Functions
Help Questions
Pre-Calculus › Functions
Determine the value of of the function
Explanation
In order to determine the value of of the function we set
The value becomes
As such
Find the inverse of .
Explanation
To find the inverse of the function, we switch the switch the and
variables in the function.
Switching and
gives
Then, solving for gives our answer:
Determine the value of of the function
Explanation
In order to determine the value of of the function we set
The value becomes
As such
Determine the value of of the function
Explanation
In order to determine the value of of the function we set
The value becomes
As such
Find the inverse of .
Explanation
To find the inverse of the function, we switch the switch the and
variables in the function.
Switching and
gives
Then, solving for gives our answer:
Find the inverse of .
Explanation
To find the inverse of the function, we switch the switch the and
variables in the function.
Switching and
gives
Then, solving for gives our answer:
Find the inverse of the follow function:
Explanation
To find the inverse, substitute all x's for y's and all y's for x's and then solve for y.
Find the inverse function of .
None of the other answers.
Explanation
To find the inverse you must reverse the variables and solve for y.
Reverse the variables:
Solve for y:
and
. Find
.
Explanation
and
.
To find we plug in the function
everywhere there is a variable in the function
.
This is the composition of "f of g of x".
Foil the square and simplify:
Find if
and
.
Explanation
Replace and substitute the value of
into
so that we are finding
.