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

Answer: - 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