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Let f(x) = 9x - 2 and g(x) = -x + 3, how do you find f(g(x))?

1 Answer

Feb 15, 2017

$f (g (x)) = - 9 x + 25$ $f(g(x))=-9x+25$

Explanation:

Substitute x = - x + 3, that is g(x) into f(x)

$f (g (x)) = f (- x + 3)$ $f(g(x))=f(color(red)(-x+3))$

$f (g (x)) = 9 (- x + 3) - 2$ $color(white)(f(g(x)))=9(color(red)(-x+3))-2$

$f (g (x)) = - 9 x + 27 - 2$ $color(white)(f(g(x)))=-9x+27-2$

$f (g (x)) = - 9 x + 25$ $color(white)(f(g(x)))=-9x+25$

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