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

- 7

- 1

1

7

Question

f(x) = |x + 1|g(x) = 3x - 2 
Find (f*g)(-2)

 - 7

 - 1

 1

 7

anonymous · Answer

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

anonymous · Answer

correct

anonymous · Answer

what is $g(-2)$ ?

anonymous · Answer

$$f(x)=\left| x+1 \right|$$$$g(x)=3x-2$$$$f(g(x))=\left| (3x-2)+1 \right| $$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