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

Question

asked Sep 19, 2021 67.4k views

2 Answers

Stojevskimilan · Answer 1 · 2021-09-22T15:14:41+0000

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)