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Suppose f(x)= sqrt x^2+2x+8 and g(x)= 4x+2

simplify this equation:
(f of g)(x)=

1 answer

f(g(x)) = f(4x+2) = sqrt (4x+2)^2 + 2(4x+2) + 8
= sqrt(16x^2 + 16x + 4) + 8x + 4 + 8
= sqrt(16x^2 + 16x + 4) + 8x + 12
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