Question

For the figure, write the distances A, B, and C in terms of $f$or $f^{-1}$, the point ${x_k}^{*}$, and $K$.

Short answer

$A=K-f\left({x_k}^{*}\right)$,$B={x_k}^{*}$and$C=K+f\left({x_k}^{*}\right)$.

Step-by-step solution

Given Information :

In the figure, the function $y=f\left(x\right)$ and the points ${x_k}^{*}$and $K$are given.

To find the distances A , B and C :

Using the given information, we get$A=K-f\left({x_k}^{*}\right)$,$B={x_k}^{*}$and$C=K+f\left({x_k}^{*}\right)$.