Question

Given the graphs of the two functions, $y=f(x)$ and $y=g(x)$. In the adjacent figure from point $A$ on the graph of the function $y=f(x)$ corresponding to the given value of the independent variable (say $x_0$ ), a straight line is drawn parallel to the $X$-axis to intersect the bisector of the first and the third quadrants at point B. From the point B a straight line parallel to the $Y$-axis is drawn to intersect the graph of the function $y=g(x)$ at C.Again a straight line is drawn from the point $C$ parallel to the $X$-axis, to intersect the line $N{N}^{\prime }$ at $D$. If the straight line $N{N}^{\prime }$ is parallel to $Y$-axis, then the co-ordinates of the point $D$ are

• A. $f\left(x_0\right),g\left(f\left(x_0\right)\right)$
• B. $x_0,g\left(x_0\right)$
• C. $x_0,g\left(f\left(x_0\right)\right)$
• D. $f\left(x_0\right),f\left(g\left(x_0\right)\right)$

Answer 1

Answer: (C)

Correct answer is (c) $x_0,g\left(f\left(x_0\right)\right)$