If $h(x)=(f-g)(x), f(x)=5x+2$ how do you determine g(x) given $h(x)=-3x+11$ ?

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Answer 1 · 2017-01-16T13:35:30

$g(x)=8x-9, x in RR.$

We will assume that all the functions given are real-valued functions

of a real variable.

Now, by defn., $h=f-g rArr h(x)=(f-g)(x)=f(x)-g(x), AAx in RR.$

$:. g(x)=f(x)-h(x)=(5x+2)-(-3x+11), x in RR,$ i.e.,

$g(x)=8x-9, x in RR.$

If h(x)=(f-g)(x), f(x)=5x+2h(x)=(f-g)(x), f(x)=5x+2 how do you determine g(x) given h(x)=-3x+11h(x)=-3x+11?