SOLUTION: Use f(x) = 4x − 5 and g(x) = 3 − x2 to evaluate the expression. (a) (f ∘ g)(−2) (b) (g ∘ f)(−2)

Algebra ->  Functions -> SOLUTION: Use f(x) = 4x − 5 and g(x) = 3 − x2 to evaluate the expression. (a) (f ∘ g)(−2) (b) (g ∘ f)(−2)       Log On


   



Question 1152452: Use
f(x) = 4x − 5
and
g(x) = 3 − x2
to evaluate the expression.
(a)
(f ∘ g)(−2)
(b)
(g ∘ f)(−2)

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Use
f%28x%29+=+4x+-+5
and
g%28x%29+=+3-+x%5E2
to evaluate the expression.
(a)
(fg)(-2)
first find
(fg)(x)=f%283-+x%5E2%29=+4%283-+x%5E2%29+-+5=12-4x%5E2-5=7-4x%5E2
then
(fg)(-2)=7-4%28-2%29%5E2=7-4%2A4=7-16=-9

(b)

(g ∘ f)(−2)
(gf)(x)=
(gf)(x)=-16+%28-2%29%5E2+%2B+40+%28-2%29-22=-166