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:T45b,{"@context":"https://schema.org","@type":"Quiz","name":"Mht Cet 2021 Functions PYQ with Solution","url":"https://pyq-test-series-platform-alsjdcxu2-sameers-projects-41c5a71e.vercel.app/mht-cet/questions/2021/mathematics/functions/lyavomh1","educationalLevel":"Entrance exam preparation","about":"Mht Cet / Mathematics / Functions","hasPart":{"@type":"Question","name":"Mht Cet 2021 Functions PYQ with Solution","text":"If f(x)=\\frac{x}{2 x+1} and g(x)=\\frac{x}{x+1}, then (f \\circ g)(x)=","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"B"},"comment":{"@type":"Comment","text":"To find (f \\circ g)(x), we need to compose the functions f(x) and g(x). This means we will first apply g(x), and then apply f to the result of g(x). Given: f(x)=\\frac{x}{2x+1} and g(x)=\\frac{x}{x+1} First, compute g(x) for a general x: g(x) = \\frac{x}{x+1} Now, use this result as the input for f. Therefore, f(g(x)) is given by substituting g(x) into f(x): f(g(x)) = f\\left(\\frac{x}{x+1}\\right) According to the definition of f(x): f(t) = \\frac{t}{2t+1} Here, t = \\frac{x}{x+1}. Substitute t into t..."}}}18:T514,

To find $$(f \circ g)(x)$$, we need to compose the functions $$f(x)$$ and $$g(x)$$. This means we will first apply $$g(x)$$, and then apply $$f$$ to the result of $$g(x)$$.

Given:

$$f(x)=\frac{x}{2x+1}$$

and

$$g(x)=\frac{x}{x+1}$$

First, compute $$g(x)$$ for a general $$x$$:

$$g(x) = \frac{x}{x+1}$$

Now, use this result as the input for $$f$$. Therefore, $$f(g(x))

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