Question: Evaluate Function
Q(y) = ((y-4) + (y+4) - 5) / (y-4), Q(4)
graph shape/math: handwritten algebraic expression for a function evaluation, positioned center.User: solve this
1. **State the problem:** We need to evaluate the function $$Q(y) = \frac{(y-4) + (y+4) - 5}{y-4}$$ at $$y=4$$.
2. **Write the function clearly:**
$$Q(y) = \frac{(y-4) + (y+4) - 5}{y-4}$$
3. **Simplify the numerator:**
$$(y-4) + (y+4) - 5 = y - 4 + y + 4 - 5 = 2y - 5$$
4. **Rewrite the function:**
$$Q(y) = \frac{2y - 5}{y - 4}$$
5. **Evaluate at $$y=4$$:**
Substitute $$y=4$$:
$$Q(4) = \frac{2(4) - 5}{4 - 4} = \frac{8 - 5}{0} = \frac{3}{0}$$
6. **Interpret the result:**
Division by zero is undefined, so $$Q(4)$$ is undefined.
**Final answer:** $$Q(4)$$ is undefined because the denominator is zero at $$y=4$$.