16:I[8216,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"BackButton"] 17:I[1553,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"QuestionViewer"] 15:T46f,{"@context":"https://schema.org","@type":"Quiz","name":"Mht Cet 2026 Functions PYQ with Solution","url":"https://pyq-test-series-platform-alsjdcxu2-sameers-projects-41c5a71e.vercel.app/mht-cet/questions/2026/mathematics/functions/jt-mr4o7hj5","educationalLevel":"Entrance exam preparation","about":"Mht Cet / Mathematics / Functions","hasPart":{"@type":"Question","name":"Mht Cet 2026 Functions PYQ with Solution","text":"If f : R \\to R and g : R \\to R are defined as f(x) = 2x - |x| and g(x) = 2x + |x|, then","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"D"},"comment":{"@type":"Comment","text":"For the given functions, f(x)=2x-|x| and g(x)=2x+|x| First write them according to the sign of x. If x \\ge 0, then |x|=x. So, f(x)=2x-x=x and g(x)=2x+x=3x If x So, f(x)=2x-(-x)=3x and g(x)=2x+(-x)=x Now calculate the required values. For (f \\circ g)(2): g(2)=3(2)=6 Since 6>0, f(6)=6 So, (f \\circ g)(2)=6 For (g \\circ f)(2): f(2)=2 Then, g(2)=6 So, (g \\circ f)(2)=6 For (g \\circ f)(-2): Since -2 f(-2)=3(-2)=-6 Now, g(-6)=-6 So, (g \\circ f)(-2)=-6 For (f \\circ g)(-2): Since -2 g(-2)=-2 Now, f(-2)=3..."}}}18:T47b,

For the given functions,

$$ f(x)=2x-|x| $$

and

$$ g(x)=2x+|x| $$

First write them according to the sign of $x$.

If $x \ge 0$, then $|x|=x$.

So,

$$ f(x)=2x-x=x $$

and

$$ g(x)=2x+x=3x $$

If $x<0$, then $|x|=-x$.

So,

$$ f(x)=2x-(-x)=3x $$

and

$$ g(x)=2x+(-x)=x $$

Now calculate the required values.

Functions

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