If h(x) = x^3+ x and g(x) = 2x + 3, then g(h(2)) = ?

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hala718 eNotes educator | Certified Educator

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Given that:

h(x) = x^3 + x

g(x) = 2x+ 3

We need to find g(h(2))

First we will determine the values of h(2).

==> h(2) = 2^3 + 2 = 8+2 = 10

Now we will substitute into g(h(2)

==> g(h(2)) = g(10)

Now we will substitute into g(x).

==> g(10) = 2*10 + 3 = 23

==> g(h(2)) = 23

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justaguide eNotes educator | Certified Educator

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write12,544 answers

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We have the two functions h(x) = x^3+ x and g(x) = 2x + 3.

Now we need to find g(h(2)).

h(2) = 2^3 + 2

= 8 + 2

= 10

g(h(2))

= g(10)

= 2*10 + 3

= 20 + 3

= 23

Therefore g(h(2)) = 23.

check Approved by eNotes Editorial