Given fx 5x 2 and gx x2 6x 8 find f middot g x 5x3 32x2

Given f(x) = 5x + 2 and g(x) =x^2 + 6x - 8, find (f middot g) (x). 5x^3 + 32x^2 - 28x - 16 x^2 - 11x + 6 x^3 - 32x^2 - 34x - 19 6x^3 + 34x^2 + 28x - 15 Find the requested function value. Find (g degree f) (3) when f(x) = x - 9/6 and g(x) = 8x + 9. -33 -17 4 1

Solution

f(x) = 5x +2 ; g(x) = x^2 +6x - 8

(f.g)(x) = f(x)*g(x) = ( 5x +2) *(x^2 + 6x -8)

= 5x^3 +30x^2 -40x +2x^2 +12x - 16

= 5x^3 + 32x^2 - 28x - 16

Option A

g(x) = 8x +9 ; f(x) =( x-9)/6

(g o f)(x) = g(f(x)) = 8(x-9)/6 +9

= 4x/3- 36/3 +9

(g of)(3) = 4*3/3 - 9 +9

= 4

Option C