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
