Question

Choose the graph which represents the function f(x) = x+4 and its inverse?

`f (x) = x + 4` and its inverse

Answer 1

Given: `f (x) = x + 4`

To find the inverse, let `x =`f^-1(x)#:

`f(f^-1(x)) = f^-1(x) + 4`

By definition, `f(f^-1(x)) = x` (this means that the left side becomes x):

`x = f^-1(x) + 4`

Flip the equation:

`f^-1(x) + 4=x`

Subtract 4 from both sides:

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

Choose the graph that looks like this: