Question

if f(x) =3x-2 and g(x) =1/x what is (f.g) (x)​

Answer 1

Answer:

So first of all remember when we say f(g(x)) or g(f(x) we need composition, but another way to remember what to do is to remember welll what we mean when say there is some function f(x) that meams there is a defenition in our case if the input is x, then the rule looks like this 3x^2, or take an x square it and then multiply by 3.

So for f(g(x)) we taking what ever is g(x)=x-1 and replace x with that whole expression, f(g(x)=3(x-1)^2

now for the other composition, similiarly

g(f(x)=3x^2-1

Answer 2

ANSWER

(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

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