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Class 11MathematicsRelations and FunctionsAlgebra of real functionsMedium
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If \(f(x)=5x+4\) and \(g(x)=2x-3\), what is the value of \((f-2g)(x)\)?

Answer and explanation

Correct answer: \(x+10\)

For algebraic operations on functions, \((f-2g)(x)=f(x)-2g(x)\). Therefore, \((f-2g)(x)=(5x+4)-2(2x-3)=5x+4-4x+6=x+10\), so option A is correct. Option B results from combining the coefficients incorrectly. In an exam, remember that distributing \(-2\) changes the signs of both terms inside the bracket.

Related tags

Relations And FunctionsAlgebra Of FunctionsLinear CombinationFunction SubtractionAlgebra Of Real 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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