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

For each pair of functions f and g below, find S (8 (x)) and Please help-example-1
User Gilpach
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1 Answer

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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

Explanation:

(a)

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

f(g(x)) = x

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

g(f(x)) = x

  • f and g are inverses of each other

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(b)

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

f(g(x)) = x +4

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

g(f(x)) = x+4

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  • f and g are not inverses of each other
User Alberto Crespo
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