Question

Question

Given that f(x)=x2−5x+6
and g(x)=x−2
, what value of x
must be excluded from the domain of (f/g)(x)
?(1 point)
The value of x
that must be excluded from the domain of (f/g)(x)
is x=
.
Remaining Attempts : 3

Answer 1

To find the value of \( x \) that must be excluded from the domain of the function \( \frac{f(x)}{g(x)} \), we need to identify when \( g(x) = 0 \), since dividing by zero is undefined.

Given:

• \( g(x) = x - 2 \)

Set \( g(x) \) to zero:

\[ x - 2 = 0 \]

Solving for \( x \):

\[ x = 2 \]

Thus, the value of \( x \) that must be excluded from the domain of \( \frac{f}{g}(x) \) is:

\[ \boxed{2} \]