Given f(x) = 2x and g(x) = x2+3 , find f(g(x)).

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

6 0

I'm assuming for g(x) you mean g(x) = x^2+3 for $g(x)=x^2+3$ .

Going with that...

$\begin{aligned}f(g(x)) &= f\left( x^2+3 \right)~~~~~\text{plug $x^2+3$ in for $x$ in $f(x)$}\\[0.5em]&= 2\cdot ( x^2+3 )~~~~~\text{so $2x$ became $2(x^2+3)$}\\[0.5em]&= 2x^2+6\endaligned}$

Just treat the enter g(x) function as a single input for f(x).

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