Question

How do I confirm that f and g are inverses?

Answer 1

Answer:

see explanation

Step-by-step explanation:

To show f and g are inverses we require to show that

f(g(x)) = x and g(f(x)) = x

f(g(x))

= f(6x - 4)

= $\frac{6x-4+4}{6}$ = $\frac{6x}{6}$ = x

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g(f(x))

= g($\frac{x+4}{6}$ )

= ( 6 × $\frac{x+4}{6}$) - 4

= x + 4 - 4 = x

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Hence f and g are inverses