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If
h(x)=x^(3)-4x+3, what is the value of
h(h(2)) ?

If $h(x)=x^{3}-4 x+3$ , what is the value of $h(h(2))$ ?

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Evaluate exponential functions

Full solution

Q. If

h(x)=x^{3}-4 x+3

, what is the value of

h(h(2))

?

Find $h(2)$ : First, we need to find the value of $h(2)$ by substituting $x$ with $2$ in the function $h(x)$ .
$h(x) = x^3 - 4x + 3$
$h(2) = (2)^3 - 4(2) + 3$
Calculate the value of $h(2)$ .
$h(2) = 8 - 8 + 3$
$h(2) = 3$
Calculate $h(2)$ : Now that we have $h(2) = 3$ , we need to find $h(h(2))$ which is $h(3)$ . $\newline$ Substitute $x$ with $3$ in the function $h(x)$ . $\newline$ $h(x) = x^3 - 4x + 3$ $\newline$ $h(3) = (3)^3 - 4(3) + 3$ $\newline$ Calculate the value of $h(3)$ . $\newline$ $h(2) = 3$ $0$ $\newline$ $h(2) = 3$ $1$
Find $h(h(2))$ : The value of $h(h(2))$ is the same as the value of $h(3)$ which we have found in the previous step. $\newline$ Therefore, $h(h(2)) = 18$ .

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