lovebug188 lovebug188

06-03-2018
Mathematics

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Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1). 2 8 10 4

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chrysanthemum chrysanthemum

06-03-2018

Hello!

You can solve this by plugging 1 into [tex] g(x) [/tex] and plugging the result into [tex] h(x)[/tex].

[tex]g(x) = 2x[/tex]
[tex]g(1) = 2(1)[/tex]
[tex]g(1) = 2[/tex]

[tex]h(x) = 2x + 4[/tex]
[tex]h(g(1)) = 2(2) + 4[/tex]
[tex]h(g(1)) = 4 + 4[/tex]
[tex]h(g(1)) = 8[/tex]

Answer:
(h ∘ g)(1) = 8

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