Find f(g(x)) f(x)=3x-2 , g(x)=(x+2)/3

$f (x) = 3 x - 2$ , $g (x) = \frac{x + 2}{3}$

Set up the composite result function.

$f (g (x))$

Evaluate $f (g (x))$ by substituting in the value of $g$ into $f$ .

$f (\frac{x + 2}{3}) = 3 (\frac{x + 2}{3}) - 2$

Cancel the common factor of $3$ .

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Cancel the common factor.

$f (\frac{x + 2}{3}) = 3 (\frac{x + 2}{3}) - 2$

Rewrite the expression.

$f (\frac{x + 2}{3}) = x + 2 - 2$

Combine the opposite terms in $x + 2 - 2$ .

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Subtract $2$ from $2$ .

$f (\frac{x + 2}{3}) = x + 0$

Add $x$ and $0$ .

$f (\frac{x + 2}{3}) = x$

Find f(g(x)) f(x)=3x-2 , g(x)=(x+2)/3

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