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

Please help me ASAP thank you so much
in Calculus Answers by Level 2 User (1.9k points)

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1 Answer

f(x) = 3x - 2 and g(x)  = x^2 + 1

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

gof(x) = ( 3x -2)^2 + 1 = 9x^2 -12x +4 + 1 = 9x^2 - 12x +5

(A - b )^2 = A^2 - 2AB + b^2
by Level 8 User (36.8k points)

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