108,604 views
44 votes
44 votes
Write g(x) so that it is the inverse of the given function f(x). f(x) = 1/3x - 5/3 g(x) =

User Phil Hannent
by
2.4k points

1 Answer

16 votes
16 votes

9514 1404 393

Answer:

g(x) = 3x +5

Explanation:

The inverse function can be found by solving ...

x = f(y)

x = 1/3y -5/3 . . . . . use the definition of f(x)

3x = y -5 . . . . . . . . multiply by 3

3x +5 = y . . . . . . . .add 5

Then the inverse function is ...

g(x) = 3x +5

User Enyo
by
2.9k points