3 years ago

Determine algebraically whether f(x)=3x-2 and g(x)=(x+2)/3 are inverse functions. Show all work.

Mathematics

1 answer:

Sergio [31]3 years ago

4 0

Answer:

Yes

Step-by-step explanation:

f(x)=3 x-2

y= 3 x-2

x= 3y - 2

3 y -2 = x

3 y -2 + 2 = x + 2

3 y = x + 2

3 3 3

3 y = x + 2

3 3 3

y = x + 2 replace y with f ^ -1(x)

3 3

f ^-1 (x) = x + 2

3 3

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