f(x) = x + 1/2

g(x) = 1x - 1/2

are these inverses of each other?

can you show me algebraically?

here's the sample problem.....

Feels very complicated...

Ex. 9 Determine algebraically whetherf(x) = 3x- 2andg(x) = (x + 2) / 3are inverses of each other.

Solution:

S1Plugg(x) intof(x):

S2Plugf(x) intog(x) :

S3Are both results = x?Then they are inverses of each other.

• Determine algebraically whetherf(x) = 3x- 2 andg(x) = (¹/₃)x+ 2 are inverses of each other.

Plugg(x) intof(x)

I didn't end up with just "x", sof(x) andg(x) are not inverses of each other.