The functions f(x)=√x^2+12x+36 and g(x)=x^3-12 are defined below. which expression is equal to f(x) · g(x)? a. x^4-6x^3-12x+72 b. x^4-12x^3+6x-72 c. x^4+6x^3-12x-72 d. 7x^3-12x-72

C: x^4+6x^3-12x-72

Step-by-step explanation:

For the function : f(x)=√x^2+12x+36

It can be factorized to

f(x)=√(x+6)²

=x+6

f(x)*g(x)

=(x+6)(x^3-12)

Expand the brackets

=x^4-12x+6x^3-72

rearrange the numbers

x^4+6x^3-12x-72

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4