Functions
If f(x) = x² and g(x) = x + 1, then (fog)(2) equals
Select the correct option:
Solution
9
- Understand Composition: (f∘g)(2) means f(g(2)). Evaluate the inner function first.
- Calculate g(2): Given g(x)=x+1, so g(2)=2+1=3.
- Calculate f(g(2)): Substitute the result into f(x)=x2.
- f(3)=32=9.
- General Expression: Note that (f∘g)(x)=f(x+1)=(x+1)2. Substituting x=2 gives (2+1)2=9.
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About This Question
- Subject
- mathematics
- Chapter
- sets, relations and functions
- Topic
- functions
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
9
- Understand Composition: (f∘g)(2) means f(g(2)). Evaluate the inner function first.
- Calculate g(2): Given g(x)=x+1, so g(2)=2+1=3.
- Calculate f(g(2)): Substitute the result into f(x)=x2.
- f(3)=32=9.
- General Expression: Note that (f∘g)(x)=f(x+1)=(x+1)2. Substituting x=2 gives (2+1)2=9.
This easy difficulty mathematics question is from the chapter sets, relations and functions, covering the topic of functions. It appeared in the 2025 exam.
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