Question

f(x) =x2 +6x +8/x2 - 11x + 10
What is the domain of f(x)?
A. All real numbers except x = 1, x = 10
B. All real numbers x = -2, x = -4
C. All real numbers except x = 1, x = 11
D. All real numbers except
SUBMIT

Answer 1

Answer: all real numbers except x=1 x=10

Step-by-step explanation:

Answer 2

The domain of function f(x) is the all real numbers except x=1, x= 10.

What is domain?

The domain of "the function is set of all possible inputs for the function".

According to the question,

f(x) = x² + 6x +$\frac{8}{x^2}$ - 11x +10

= $\frac{x^4 +6x^3 +8 -11x^3 +10x^2}{x^2}$

Applying that the denominator not equal to zero.

x² ≠ 0 ⇒ x ≠ 0

The domain of all polynomials is all real numbers (-∞,∞) except x=1 and x = 10 because at that point function is equal to zero.

Hence, the domain of function f(x) is the all real numbers except x=1, x= 10.

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