Answer
$-3$
Work Step by Step
We evaluate the expression by substituting $x=4$ throughout the expression and simplifying:
$\frac{x^{2}+3x-10}{x^{2}-9x+14}$
=$\frac{(4)^{2}+3(4)-10}{(4)^{2}-9(4)+14}$
=$\frac{16+12-10}{16-36+14}$
=$\frac{28-10}{-20+14}$
=$\frac{18}{-6}$
=$-3$
