The calculator will find the composition of the functions
f(x)=8x2−10x and
g(x)=9x−7, with steps shown.
Related calculator:
Operations on Functions Calculator
Solution
(f∘g)(x)=f(g(x))=f(9x−7)=8(9x−7)2−10(9x−7)=648x2−1098x+462
(g∘f)(x)=g(f(x))=g(8x2−10x)=9(8x2−10x)−7=72x2−90x−7
(f∘f)(x)=f(f(x))=f(8x2−10x)=8(8x2−10x)2−10(8x2−10x)=4x(4x−5)(32x2−40x−5)
(g∘g)(x)=g(g(x))=g(9x−7)=9(9x−7)−7=81x−70
Answer
(f∘g)(x)=648x2−1098x+462A
(g∘f)(x)=72x2−90x−7A
(f∘f)(x)=4x(4x−5)(32x2−40x−5)A
(g∘g)(x)=81x−70A