Given $f(x)=8x-1$ , and $g(x)=x/2$ how do you find fog(x)?

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Answer 1 · 2016-02-13T18:50:24

Substitute $x/2$ (which is $g(x)$ ) in place of $x$

$(f@g)(x)=4x-1$

$(f@g)(x)=f(g(x))$

Which means that wherever inside the function you see the variable $x$ you should substitute it with $g(x)$ Here:

$(f@g)(x)=8g(x)-1=8(x/2)-1=4x-1$

$(f@g)(x)=4x-1$

Given f(x)=8x-1f(x)=8x-1, and g(x)=x/2g(x)=x/2 how do you find fog(x)?