If a curve passes through (2,72) with slope 1-1x^2, the ordinate at abscissa -2 is:

Question

If a curve passes through $\left(2,\dfrac72\right)$ with slope $1-\dfrac{1}{x^2}$, the ordinate at abscissa $-2$ is:

Accepted Answer

$y=x+\dfrac1x+C$. Using $\left(2,\dfrac72\right)$: $C=1$. At $x=-2$: $y=-2-\dfrac12+1=-\dfrac32$.

Solutions · 1