By the definition of composition we have that f(g(x))=f(4x-2)=3(4x-2)^2-2(4x-2)+1=3(16x^2+4-16x)-8x+4+1=48x^2+12-48x-8x+5=48x^2-56x+17. Then for f(g(2))=48(4)-56(2)+17=97.
Henrique F.
asked • 10/14/20College Algebra
Given f(x)= 3x^2-2x+1 and g(x)=4x-2, find
a) f(g(x))
b) f(g(2))
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