# Gven f(x)=3x-2 and g(x)=1/3 x +2/3 Find (fog)(x)

Gven $f\left(x\right)=3x-2\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}g\left(x\right)=\frac{1}{3}x+\frac{2}{3}$
Find $\left(fog\right)\left(x\right)$
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$\left(fog\right)\left(x\right)=f\left(g\left(x\right)\right)=f\left(\frac{1}{3}x+\frac{2}{3}\right)=3\left(\frac{1}{3}x+\frac{2}{3}\right)-2=x+2-2=x.$