Answer: [tex]2x^{2} +15[/tex]
Explanation:
so basically f(g(x)) is telling you to plug the entire g(x) equation into x in the f(x) equation so it will look like this
2([tex]x^{2} +7[/tex]) + 1
and then simplify
[tex]2x^{2} +14 + 1[/tex]
[tex]2x^{2} +15[/tex]
The value of f(g(x)) is 2x² + 15
f(x) = 2x + 1
g(x) = x² + 7
Therefore, we just have to replace the value of x in f(x) as x² + 7.
f(g(x)) = 2(x² + 7) + 1
f(g(x)) = 2x² + 14 + 1
f(g(x)) = 2x² + 15
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