Answer:
Step-by-step explanation:
Given:
Composite Function:
Also,
To find:
Solution:
First of all, let us learn about a composite function.
Composite function means to write
in place of
in the function
.
Let
So, =
.
Therefore,
So,
We have to solve for in terms of
to find the value of
:
Hence, the answer is .
Checking whether the answer is correct or not:
which is .
Hence, our answer is correct.
Answer:
g(f(x)) = x
Step-by-step explanation:
You are given f(x) = -4x - 1 and g(x) = . Keep in mind that f(x) or g(x) is the same as a y = equation, but two separate equations.
You are trying to find g(f(x)), which means that you will use f(x) and substitute this value into the x value in the equation of g(x).
It will look like: g(-4x - 1) =
Now evaluate the expression to solve the problem. Start by combining like terms.
You are left with -4x/-4. We can simplify this even further by dividing both sides of the fraction by -4/-4. The -4's cancel out and become 1's, so you are left with: