Question

f(x) = |x + 1|g(x) = 3x - 2
Find (f*g)(-2)

- 7

- 1

1

7

Answer 1

i am guessing that this is composition
\(f\circ g\) not \(f\times g\)
am i right?

Answer 2

correct

Answer 3

what is \(g(-2)\) ?

Answer 4

\[f(x)=\left| x+1 \right|\]\[g(x)=3x-2\]\[f(g(x))=\left| (3x-2)+1 \right| \]To find f(g(-2)), we simply plug in x = -2 in our f(g(x)) equation.\[f(g(-2))=\left| (3(-2)-2)+1 \right|=?\]Can you solve it from here?

That's one way of doing it. The other way is that since we know we are finding f(g(-2)), we must first find g(-2). So plug in -2 in to g(x) and evaluate. Then plug in that value in to f(x) for x and solve to get f(g(-2)).

@Annetta_Martin