The range of function (f + g)(x) is (-9, ∞) option (D) is correct the linear function g(x) is g(x) = -3x - 5
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = x² + 3x - 4
The domain of the f(x) is all real numbers
The range of the g(x) is [-6.25, ∞)
g(x) is shown in the table:
x –6 –3 –1 4
g(x) 13 4 –2 –17
The linear function g(x) is:
[tex]\rm g(x) = \ -13=\dfrac{\left(4-13\right)}{-3+6}\left(x+6\right)[/tex]
g(x) = -3x - 5
(f + g)(x) = f(x) + g(x)
= x² + 3x - 4 - 3x - 5
(f + g)(x) = x² - 9
The domain of the function is all real numbers.
The range of the function (-9, ∞)
Thus, the range of function (f + g)(x) is (-9, ∞) option (D) is correct the linear function g(x) is g(x) = -3x - 5
Learn more about the function here:
brainly.com/question/5245372
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