Can anyone answer me this question

Question 1:

For this case we have the following functions:

We must find):

By definition we have to:

We substitute :

So, we have that

Question 2:

For this case we have the following functions:

We must find :

By definition we have to:

We substitute :

Question 3:

For this case we must find the inverse of the following function:

To do this, we follow the steps below:

We change y for :

We exchange variables:

We clear the value of the variable "y":

We change y for :

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1

what statement? is there an image?