Answer:
Choice C is the answer.
Step-by-step explanation:
We have given two functions.
f(x) = 2x² - 5x -3 and g(x) = 2x² + x
We have to find (f/g) (x) .
The formula to find (f/g) (x) is :
(f/g) (x) = f(x) / g(x)
Simplifying f(x) and g(x) , we have
f(x) = 2x²-6x+x-3
f(x) = 2x(x-3)+1(x-3)
f(x) = (2x+1)(x-3)
g(x) = x(2x+1)
Putting above values in formula , we have
(f/g)(x) = (2x+1)(x-3) / x(2x+1)
(f/g)(x) = x-3 / x
Denominator must not be zero.
(f/g)(x) = x-3 / x , x ≠0
