can you show me how to solve this problem

Question

what is the inverse of these functions?

  f(x)=2x² -7

Answer 1

f(x) = 2x²-7

 

To find the inverse of a function there are

specific steps:

 

1.  replace f(x) with y

     y = 2x²-7

 

2.  Switch y and x in the equation.

     x = 2y²-7

 

3.  Solve for y

     2y²=x+7

      y²=(x+7)/2

      y = √((x+7)/2)

 

4.  Replace y with f^-1(x)

     f^-1(x)=√[(x+7)/2]

 

Hope this helps.