# Find the x-and y-intercepts of the rational function f(x)=\frac{6}{x^{2}+4x-7}

Find the x-and y-intercepts of the rational function
$f\left(x\right)=\frac{6}{{x}^{2}+4x-7}$
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Macsen Nixon
As x -intercept is a point on the graph where $y=0$,
$\frac{6}{{x}^{2}+4x-7}=0$ implies there is no solution for $x\in R$.
$\therefore$ There is no x -intercept point.
As y -intercept is a point on the graph where $x=0$,
$y=\frac{6}{{0}^{2}+4\left(0\right)-7}$
$y=-\frac{6}{7}$ $\therefore$ y-intercept is $\left(0,-\frac{6}{7}\right)$