Given the functions $f(x) = x^2$ and $g(x) = 3x+2$ what is f(g(x))?

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Answer 1 · 2015-09-10T22:22:34

It is $f(g(x))=9x^2+12x+4$

First since both functions are polynomials the composition has meaning.Hence we have that

$f(g(x))=(3x+2)^2=9x^2+12x+4$

Given the functions f(x) = x^2f(x) = x^2 and g(x) = 3x+2g(x) = 3x+2 what is f(g(x))?