137k views
5 votes
If G(x) = 5x- 2, find G -1 ( x ).

User Alexcoco
by
3.0k points

1 Answer

4 votes

9514 1404 393

Answer:

G^-1(x) = (x +2)/5

Explanation:

To find the inverse function, solve for y:

x = G(y)

x = 5y -2 . . . . . . . use the definition of G(x)

x +2 = 5y . . . . . . add 2

(x +2)/5 = y . . . . divide by 5

Then the inverse function is ...

G^-1(x) = (x +2)/5

User Vasia
by
3.8k points