Use f(x) = 4x − 2 and g(x) = 3 − x^2 to evaluate the expression

Question

Use f(x) = 4x − 2 and g(x) = 3 − x^2 to evaluate the expression

(a)    (f ∘ g)(−2)=

(b) (g∘ f)(-2)=

*When I plugged in 4x-2 for f, and 3-x^2 for g I made it look like this: ((4x-2)(3-x^2))(-2). That came up with the wrong answer. Im not sure if I lost the answer in my multiplication or where. Please walk me through these steps.

Answer 1

g(-2) = 3 - (-2)^2 = 3 - 4 = -1

f(-1) = 4(-1) - 2 = -4 - 2 = -6

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f(-2) = 4(-2) - 2 = -8-2 = -10

g(-10) = 3 - (-10)^2 = 3 - 100 = -97