celiarou0
Answered

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Find functions f(x) and g(x) so the given function can be expressed as
h(x) = f(g(x)).
(Use non-identity functions for
f(x) and g(x).)
h(x) = 5/x-4

Sagot :

Answer:

[tex]f(x) = \frac{5}{x}[/tex]

[tex]g(x) = x - 4[/tex]

Step-by-step explanation:

Composite function:

[tex]h(x) = f(g(x)) = (f \circ g)(x)[/tex]

h(x) = 5/x-4

We have x on the denominator and not the numerator, so the outer function is given by:

[tex]f(x) = \frac{5}{x}[/tex]

The denominator is x - 4, so this is the inner function, so:

[tex]g(x) = x - 4[/tex]

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