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Class 11MathematicsRelations and FunctionsAlgebra of real functionsEasy
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If \\(f(x)=2x-3\\) and \\(g(x)=x+4\\), what is \\((f+g)(x)\\)?

Answer and explanation

Correct answer: \\(3x+1\\)

The sum of two functions is defined by \\((f+g)(x)=f(x)+g(x)\\). Hence, \\((2x-3)+(x+4)=3x+1\\). Option B omits the additional \\(2x\\) term, while option D results from multiplying the two functions, not adding them. Exam tip: combine like powers of \\(x\\) and then combine the constant terms separately.

Related tags

AlgebraReal FunctionsLinear FunctionsFunction AdditionAlgebra Of Real FunctionsRelations And FunctionsMathematicsClass 11 Mcq
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10 more MCQs
  1. 1If (f(x)=x+2) and (g(x)=3x), what is ((f+g)(x))?
  2. 2If f(x)=5x-1 and g(x)=2x+4, what is the value of (f-g)(x)?
  3. 3If \(f(x)=x+1\) and \(g(x)=x-1\), what is the value of \((fg)(x)\)?
  4. 4If \(f(x)=2x+6\) and \(g(x)=2\), what is the value of \(\left(\frac{f}{g}\right)(x)\)?
  5. 5If \(f(x)=x^2\) and \(g(x)=4\), what is the value of \((f+g)(2)\)?
  6. 6If \(f(x)=3x\) and \(g(x)=x+5\), find the value of \((f-g)(1)\).
  7. 7If f(x)=x+2 and g(x)=x+3, what is the value of (fg)(1)? Here, (fg)(x) denotes the product of f(x) and g(x).
  8. 8If f(x) = x^2 - 4 and g(x) = x - 2, what is the value of (f/g)(3)?
  9. 9If f(x) = x² + 1 and g(x) = 2x, then what is (f + g)(x) equal to?
  10. 10If \(f(x)=4x+7\) and \(g(x)=x-3\), what is \((f-g)(x)\)?
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