Question

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

Answer 1

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

Explanation:

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.`