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Varvara68 [4.7K]
3 years ago
6

How do I confirm that f and g are inverses?

Mathematics
1 answer:
Anestetic [448]3 years ago
4 0

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

-----------------------------------------------------------------------------

g(f(x))

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

= ( 6 × \frac{x+4}{6}) - 4

= x + 4 - 4 = x

-------------------------------------------------

Hence f and g are inverses

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