For the given functions f and g , find the indicated composition.

Question

f(X) = 9x^2-4x, g(x) = 8x-3

(f.g)(5)

Answer 1

(f∘g)(5) = f(g(5))

g(5) = 8(5) - 3

= 40 - 3

= 37

f(37) = 9(37)^2 - 4(37)

= 9(1369) - 4(37)

= 12,321 - 148

= 12,173

Hence, (f∘g)(5) = 12,173