Answered

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if f(x) = x^4 + 4, g(x) = x - 1 and h(x) = √x, then f(g(h(x))) =

Sagot :

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STEP -BY - STEP EXPLANATION

What to find?

f(g(h(x)))

Given:

[tex]\begin{gathered} f(x)=x^4+4 \\ g(x)=x-1 \\ h(x)=\sqrt[]{x} \end{gathered}[/tex]

To solve the problem given, we will follow the steps below:

Step 1

Replace x by the value of h(x) in g(x).

That is;

[tex]\begin{gathered} g(x)=x-1 \\ \\ g(h(x))=\sqrt[]{x}-1 \end{gathered}[/tex]

Step 2

Replace x in f(x) by g(h(x)).

[tex]\begin{gathered} f(x)=x^4+4 \\ \\ f(g(h(x)))=(\sqrt[]{x}-1)^4+4 \end{gathered}[/tex]

Therefore, the solution is;

[tex]f(g(h(x)))=(\sqrt[]{x}-1)^4+4[/tex]

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