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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Functions

NDA 2023 · Mathematics · Functions

If f(x)=x^2+2 and g(x)=2 x-3 , then what is (f g)(1) equal to?

If f(x)=x2+2f(x)=x^2+2 and g(x)=2x−3g(x)=2 x-3, then what is (fg)(1)(f g)(1) equal to?

Options

  1. A33
  2. B11
  3. C−2-2
  4. D−3-3

Correct answer

D. −3-3

Step-by-step solution

f(x)=x2+2g(x)=2x−3(fg)(1)=f(1)×g(1)=(1+2)(2−3)=−3f(x)=x^2+2g(x)=2 x-3(f g)(1)=f(1) \times g(1)=(1+2)(2-3)=-3.
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