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 inverse of the function is $f^{-1}(x)=\frac{x-11}{4}$

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,

$x-11=4y$

 $\frac{x-11}{4}=y$

Thus, the inverse of the function is $f^{-1}(x)=\frac{x-11}{4}$

Answer 2

Answer:

The answer is b.

Step-by-step explanation: