Question

6. For what value of x is f(x) = (x + 3)/(x - 7) not a real number?A. -7B. -3C. 3D. 7

Answer 1

ANSWER

$D)7$

EXPLANATION

We want to find the value of x for which the function given is not a real number:

$f(x)=\frac{x+3}{x-7}$

For a fraction not to be a real number, the denominator of the fraction has to be equal to 0.

This implies that:

$\begin{gathered} x-7=0 \\ \Rightarrow x=7 \end{gathered}$

Therefore, the answer is option D.