Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
If from $R \rightarrow R, f(x)=(x+1)^2, g(x)=x^2+1$, then $(f \circ g)(-3)$ equals
MathematicsFunctionsJEE Main
Options:
  • A $121$
  • B $112$
  • C $211$
  • D None of these
Solution:
2305 Upvotes Verified Answer
The correct answer is: $121$
$\begin{aligned} & f(x)=(1+x)^2 \text { and } g(x)=x^2+1 \\ & \text { and } f \circ g(-3)=f[g(-3)]=f[9+1]=f[10] \\ & \Rightarrow f \circ g(-3)=f[10]=[11]^2=121 .\end{aligned}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.