# What are the intercepts for the graphs of the equation y=(x^2-49)/(7x^4)?

If the question is: "in which point does the function intercept the y-axis?", the answer is: in no points. This is because, if this point would exist, its x-coordinate has to be $0$, but it is impossible to give this value to $x$ because $0$ makes the fraction a nonsense (it is impossible to divide for $0$).
If the question is: "in which points does the function intercept the x-axis?", the answer is: in all those point whose y-coordinate is $0$.
$\frac{{x}^{2} - 49}{7 {x}^{4}} = 0 \Rightarrow {x}^{2} = 49 \Rightarrow x = \pm 7$.
The points are: $\left(- 7 , 0\right) \mathmr{and} \left(7 , 0\right)$.