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)
= [tex]\frac{6x-4+4}{6}[/tex] = [tex]\frac{6x}{6}[/tex] = x
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g(f(x))
= g([tex]\frac{x+4}{6}[/tex] )
= ( 6 × [tex]\frac{x+4}{6}[/tex]) - 4
= x + 4 - 4 = x
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Hence f and g are inverses
