CAT 2025 Slot 2 — QA Question 4

Functions & GraphsMedium

Let $f ( x ) = \frac { x } { ( 2 x - 1 ) }$ and $g ( x ) = \frac { x } { ( x - 1 ) }$ . Then, the domain of the function $h ( x ) = f ( g ( x ) ) + g ( f ( x ) )$ is all real numbers except

Answer & solution

Correct answer: \( - 1 , \frac { 1 } { 2 } \), and 1

$- 1 , \frac { 1 } { 2 }$ , and 1
B
$\frac { 1 } { 2 } , 1$ , and $\frac { 3 } { 2 }$
C
$- \frac { 1 } { 2 } , \frac { 1 } { 2 }$ , and 1
D
$\frac { 1 } { 2 }$ , and 1

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CAT 2025 Slot 2 QA Q4 — Functions & Graphs solution | TheCATExam