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 $NN ^{\prime}$ at $D$. If the straight line $NN ^{\prime}$ 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)$