How do I solve these problems? (looking for an explanation so I can try on my own)?

Question

Let g(x)=2x and h(x)=x²+4

Problem #1. h(g(1))

Problem #2. h(g(10))

Thank you!

I need all the help I can get.

Answer 1

This really comes down to an execution order problem. Start from the inner parentheses and work your way outwards:

h(g(1))

First evaluate g(1):

g(1) = 2 * 1 or 2

Now plug that value of 2 into the h() function:

h(2) = 2^2 + 4 = 4 + 4 = 8

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Repeat the process for problem 2:

h(g(10))

Take g(10) = 2 * 10 = 20

Now plug that 20 into the h() function:

h(20) = 20^2 + 4 = 400 + 4 = 404

Answer 2

They give you values for g(x)

Solve that and plug and chug for h(x)

g(5) = 2 * 5 = 10

h(x) = h(10) = 10^2 +4 = 104

You do yours.

Answer 3

1

h(g(1)) = h( 2(1)) = h(2) = 2²+4 = 8

h(g(10)) = h( 2(10)) = h(20) = 20² + 4 = 404