Question

What are the restricted values for??

Answer 1

Considering the domain of the function, it is restricted for:

B. $x \neq -3, x \neq -2, x \neq 0$.

What is the domain of a function?

The domain of a function is the set that contains all possible input values for the function.

A fraction cannot have a denominator of zero, hence:

• $4x^2 - 12x \neq 0$.

• $-x^2 + 5x - 6 \neq 0$.

We solve these two inequalities to find the restrictions, hence:

$4x^2 - 12x \neq 0$

$4x(x - 3) \neq 0$

$4x \neq 0 \rightarrow x \neq 0$

$x - 3 \neq 0 \rightarrow x \neq 3$.

$-x^2 + 5x - 6 \neq 0$.

$x^2 - 5x + 6 \neq 0$

$(x - 3)(x - 2) \neq 0$

$x - 2 \neq 0 \rightarrow x \neq 2$.

$x - 3 \neq 0 \rightarrow x \neq 3$.

Hence the correct option is:

B. $x \neq -3, x \neq -2, x \neq 0$.

More can be learned about the domain of a function at brainly.com/question/10891721

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