Answer:
Answer: OPTION B
Step-by-step explanation
By definition, the parent function is the simplest form of a function. In this case, you have the quadratic parent function
As you can see in the graph, the function g(x) is the obtained by shifting the parent function f(x) two units to the right, which is represented with:
Therefore, the equation of the function g(x) is:
I believe the answer is B) positive
Pemdas
parenthasees exponents mult/division additon/subtraction
parethenasees
x-3 and x+5 we can't do anything with so next
5(x-3)=5x-15
2(x+5)=2x+10
5x-15+2=5x-13
(2x+10-9)=2x+1
(5x-13)-3(2x+1)
-3(2x+1)=-6x-3
5x-13-6x-3=-x-16
4(-x-16)=-4x-64
the answer is -4x-64
(g/f)(x)= g(x)/f(x) =
= (x² - 6) /(3x +1)
3x+1≠0
3x≠-1
x≠ - 1/3
(g/f)(x)= (x² - 6) /(3x +1), when x≠ - 1/3
Answer: A.