Given that f (x) = 5x-10 qnd g (x) = 1/5 x+2 find (f*g) (x)

x^2 + 8x-20

Step-by-step explanation:

f (x) = 5x-10 qnd g (x) = 1/5 x+2

f*g = (5x-10) (1/5 x+2)

FOIL

first: 5x*1/5x = x^2

outer: 5x*2 = 10x

inner: - 10*1/5x = - 2x

last: - 10*2 = - 20

Add them together = x^2 + 10x - 2x - 20

x^2 + 8x-20