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Question: Answered & Verified by Expert
Let $R$ be the set of real numbers and the mapping $f: R \rightarrow R$ and $g: R \rightarrow R$ be defined by $f(x)=5-x^2$ and $g(x)=3 x-4$, then the value of $(f \circ g)(-1)$ is
MathematicsFunctionsWBJEEWBJEE 2010
Options:
  • A -44
  • B -54
  • C -32
  • D -64
Solution:
2540 Upvotes Verified Answer
The correct answer is: -44
Hints: $\mathrm{f}(\mathrm{g}(-1))=\mathrm{f}(-3-4)=\mathrm{f}(-7)=5-49=-44$

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