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solniwko [45]
3 years ago
6

For each pair of functions f and g below, find S (8 (x)) and Please help

Mathematics
1 answer:
PtichkaEL [24]3 years ago
3 0

9514 1404 393

Answer:

  (a) f(g(x)) = g(f(x)) = x; functions are inverses

  (b) f(g(x)) = g(f(x)) = x +4; functions are not inverses

Step-by-step explanation:

<h3>(a)</h3>

f(g(x)) = f(1/(6x)) = 1/(6(1/(6x))) = 1/(6/(6x)) = 1/(1/x)

f(g(x)) = x

__

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x

  • f and g are inverses of each other

__

<h3>(b)</h3>

f(g(x)) = f(x +2) = (x +2) +2

f(g(x)) = x +4

__

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x+4

__

  • f and g are not inverses of each other
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