Respuesta :
The excluded value(s) of x in the rational expression f(x) = (x²+7x)/(x²+14x+49) is -7.
What is an expression?
It is defined as the combination of constants and variables with mathematical operators.
It is given that a rational expression:
f(x) = (x²+7x)/(x²+14x+49)
As we know in the rational function the denominator cannot be zero because if the denominator is zero then it cannot be defined.
The function can be 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.
So the excluded values:
x² + 14x + 49 ≠ 0
As we know,
(a + b)² = a² + 2ab + b²
x² + 2(7)(x) + 7² ≠ 0
a = x
b =7
(x + 7)² ≠ 0
x + 7 ≠ 0
x ≠ -7
Thus, the excluded value(s) of x in the rational expression f(x) = (x²+7x)/(x²+14x+49) is -7.
Learn more about the expression here:
brainly.com/question/14083225
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