Question

If F (x) equals 4x + 7 which of the following is the inverse of F(x)​

Answer 1

Answer: B

4x+7=y

Subtract 7 from both sides

4x=y-7

Divide both sides by 4

x= (y-7)/4

Switch x and y

y= (x-7)/4

So the answer is B

Answer 2

`F^(-1)(x)=(x-7)/(4)`

Explanation:

To find the inverse function, solve for y the relation ...

F(y) = x

4y +7 = x

4y = x - 7

y = (x -7)/4 . . . . the inverse function

`\boxed{F^(-1)(x)=(x-7)/(4)}`