Let f: R → R be defined as f (x) = 2x – 1 and g: R - 1 → R be defined as g(x) = (x - 1/2)/(x - 1). Then the composition function f(g(x)) is:

Sets, Relations and Functions: JEE Main 2021 Mathematics question

JEE Main 2021 · 24 Feb, Morning shift · Q3822

JEE Main 202124 Feb, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let f : R → R be defined as f (x) = 2x – 1 and g : R - {1} → R be defined as g(x) =

{{x - {1 \over 2}} \over {x - 1}}

. Then the composition function f(g(x)) is :

JEE Main 2021 · 24 Feb, Morning shift · Q3822

JEE Main 202124 Feb, Morning shiftMathematicsMediumSets, Relations and Functions168× since 2002

Let f : R → R be defined as f (x) = 2x – 1 and g : R - {1} → R be defined as g(x) =

{{x - {1 \over 2}} \over {x - 1}}

. Then the composition function f(g(x)) is :