Problema Solution
if f(x) = 2x^2+4 and g(x)=x-3 which number satisfies f(x)= (f o g)(x)
Answer provided by our tutors
(f o g)(x) = f(g(x)) = f(x - 3) = 2(x - 3)^2 + 4 = 2x^2 - 12x + 22
f(x)= (f o g)(x)
2x^2+4 = 2x^2 - 12x + 22
by solving we find:
x = 1.5
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x = 1.5 satisfies f(x)= (f o g)(x).