Let f(x)= -5x + 3 and g(x) = 6x – 2. Find f•g and its domain.

-30x + 13 or 15x² - 14x + 3

Step-by-step explanation:

Given f(x) = -5x +3 and g(x) = 6x - 2

f•g could mean f(g(x)) or f(x) * g(x)

For f(g(x))

(f(g(x)) = -5(6x-2) + 3

= -30x + 10 + 3

= -30x + 13

which is defined for all Real values of x

Domain = R

Or

f(x)*g(x) = (-5x +3) * (6x -2)

= -30x² + 10x + 18x - 6

= -30x² + 28x - 6

Rearranging the equation,

= 30x² - 28x + 6

Divide through by 2 to make the answer smaller,

f(x)*g(x) = 15x² - 14x + 3

Which is defined for all Real values of x

Domain= R

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: