Given $g(x) = -3x +1$ , $f(x) = x^2 +7$ , $h(x) = 12/x$ , how do you find f(h(x))?

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Answer 1 · 2018-03-07T08:05:21

See a solution process below:

Because $h(x) = 12/x$ we can substitute $color(red)(12/x)$ for each occurrence of $color(red)(x)$ in $f(x)$

$f(x) = color(red)(x)^2 + 7$ becomes:

$f(h(x)) = color(red)((12/x))^2 + 7$

$f(h(x)) = color(red)(144/x^2) + 7$

Given g(x) = -3x +1g(x) = -3x +1, f(x) = x^2 +7f(x) = x^2 +7, h(x) = 12/xh(x) = 12/x, how do you find f(h(x))?