Question

What is the inverse of the function f(x) = x – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48

Answer 1

What is the inverse of the function f(x) = x – 12?

h(x) = 48x – 4

h(x) = 48x + 4

h(x) = 4x – 48

h(x) = 4x + 48

Answer 2

Let h be the inverse function of f,

then we have f(h(x))=x.


According to the formula f(x)=x-12, we have f(h(x))=h(x)-12. But we also know that f(h(x))=x.

So we equalize h(x)-12 and x:

h(x)-12=x, which gives us the function h(x)=x+12.



Answer: h(x)=x+12