Question

Inverse function of k(x)=1/4x-7

Answer 1

Explanation:

To find the inverse, first switch the x and y coordinates, then solve for the new y.

If k(x) = 1/4x - 7, then switching the x and y gives us

x = 1/4y - 7. Begin by adding 7 to both sides:

`x+7=(1)/(4)y` and multiply everything by 4 to get rid of the denominator to get

4x + 28 = y. Or in function notation:

`k^(-1)(x)=4x+28`