Question

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your answer.

Answer 1

For this case what we are going to do is describe the work part by part:

1) Talib made the correct variable change in the first step.

2) Talib made a correct clearance in the second step by passing the number 4 subtracting.

3) Taliz made a correct clearance in the third step by passing the number -8 dividing.

4) Taliz made an incorrect variable change in the last step.

The correct variable change is:

`f(x)^(-1)=(x-4)/(-8)`

Answer:

Error in the last step, the correct solution is:

`f(x)^(-1)=(x-4)/(-8)`

Answer 2

To find the inverse of a function, we make the independent variable the subject of the formula.

Thus, the inverse of the given function is evaluated as follows.

`f(x)=-8x+4 \\ y=-8x+4 \\ -8x=y-4 \\ x= (y-4)/(-8) \\ f^(-1)(x)=(x-4)/(-8)`

From the work show, it can be seen that Talib's work is correct.