If h(x)=(f o g )(x) and h(x)=5(x+1)^3, find one possibility for f(x) and g(x)

h(x)=(f o g )(x) = f[g(x)] = 5(x+1)³
So, one of possible solution is to let
         g(x) = x+1
and
         f(x) = 5x³

Another possible solution is to let
        g(x) = (x+1)³
and
       f(x) = 5x

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FelisFelis FelisFelis · Answer 2 · 2019-06-25T07:03:29+02:00

Answer:

The possibilities of f(x) and g(x) are

[tex]g(x) =x+1[/tex] and [tex]f(x) = 5x^{3}[/tex]

[tex]g(x) = (x+1)^{3}[/tex] and [tex] f(x) = 5x[/tex]

Step-by-step explanation:

The given function is [tex]h(x)=(f o g )(x)[/tex] where [tex]h(x) = 5(x+1)^{3}[/tex]

We need to find one possibility for f(x) and g(x),

One of possible solution is;

Let [tex]g(x) =x+1[/tex]

and

[tex]f(x) = 5x^{3}[/tex]

Another possible solution is;

Let [tex]g(x) = (x+1)^{3}[/tex]

and

[tex] f(x) = 5x[/tex]

Therefore, the possibilities of f(x) and g(x) are

[tex]g(x) =x+1[/tex] and [tex]f(x) = 5x^{3}[/tex]

[tex]g(x) = (x+1)^{3}[/tex] and [tex] f(x) = 5x[/tex]