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f(x)=-5+4x^(2) g(x)=4-3x (a) Find ((f)/(g))(-1). (b) Find all values that are NOT in the domain of (f)/(a).

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Final answer:

To find ((f)/(g))(-1), substitute x = -1 into the functions f(x) and g(x). The value of ((f)/(g))(-1) is -1/7. To find the values not in the domain of (f)/(g), solve g(x) = 0 for x and find that x = 4/3 is not in the domain.

Step-by-step explanation:

(a) Find ((f)/(g))(-1)

To find ((f)/(g))(-1), we need to substitute x = -1 into the functions f(x) and g(x).

f(-1) = -5 + 4(-1)^2 = -5 + 4(1) = -5 + 4 = -1

g(-1) = 4 - 3(-1) = 4 + 3 = 7

((f)/(g))(-1) = (-1)/(7) = -1/7

(b) Find all values that are NOT in the domain of (f)/(a)

To find the values that are not in the domain of (f)/(g), we need to look for values of x that make the denominator g(x) equal to zero.

Setting g(x) = 0 and solving for x:

4 - 3x = 0

-3x = -4

x = -4/(-3) = 4/3

Therefore, the value x = 4/3 is not in the domain of (f)/(g).

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