Question

4. What is the inverse of f(x) = 4x + 11?

A f-'(x) = 4x + 11
B f'(x) = 4x – 11
c f'(x) = *=11
D f'(x)== -11

Answer 1

The answer is b.

Step-by-step explanation:

Answer 2

The inverse of the function is
`f^(-1)(x)=(x-11)/(4)`

Step-by-step explanation:

The given function is
`f(x)=4x+11`

We need to determine the inverse of the function.

Inverse of the function:

The inverse of the function can be determined by interchanging the variables x and y and then solving the function for the variable y.

Here, the function f(X) is y.

Thus, the function becomes
`y=4x+11`

Interchanging the variables, we get;

`x=4y+11`

Now, we shall solve the expression for the variable y.

Thus, we have,

`x-11=4y`

`(x-11)/(4)=y`

Thus, the inverse of the function is
`f^(-1)(x)=(x-11)/(4)`