Question

For f(x) = 2x + 3 and g(x) = -x^2 + 1, find the composite function defined by (f o g)(x)
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Answer 1

Answer:

fog(x) = f{g(x)} = f{-x^2 + 1} = -2(x^2+3) +1 =-2x^2-5

Answer 2

Answer:

f(x) = 2x+3; g(x) = -x^2 + 1;

fog(x) = f(g(x))

Substitute g(x) with -x^2 +1

Fog(x) = f(-x^2 + 1)

Substitute the result with the f(x) function

fog(x) = 2(-x^2 + 1) + 3

Open the brackets by multiplying them with the 2

fog(x) = -2x^2 +2 + 3

Final answer

-2x^2 + 5

Step-by-step explanation: