Let f(x) = 2x − 3and g(x) = 3x − 2. what is (f ∘ g)(−2)?

Question

7922 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-04T09:45:14

It is given that $f(x) = 2x − 3$ and $g(x) = 3x − 2$

we know $color(blue)((f ∘ g)(x)) = f(g(x))$

$color(blue)((f ∘ g)(x)) = f(3x − 2)$

$=>color(blue)((f ∘ g)(-2)) = g(3(-2) − 2)$

$=>color(blue)((f ∘ g)(-2)) = f(-8)$

$=> f(-8) = 2(-8) − 3$ $color(white)(wwww$ $["as " color(red)(f(x) = 2x − 3)]$

$=>color(blue)((f ∘ g)(-2)) = f(-8) = -19$