Find f g for the given function fx 5x 8 and gx 3x 2 15x2

Find f g for the given function. f(x) = 5x + 8 and g(x) = -3x - 2 -15x^2 + 34x + 10 -15x^2 - 24x + 16 -15x^2 - 34x - 16 15x^2 + 24x - 10

Given f(X) =5X+8

g(X) =-3X-2

f.g = f(X) * g(X)

=(5X+8)*(-3X-2)

=5X*(-3X-2)+8*(-3X-2)

=5X*(-3X)+5X*(-2)+8*(-3X)+8*(-2)

= -15X²-10X-24X-16

= -15X²-34X-16

So option \'c\' is correct.