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Class 12MathematicsRelations and FunctionsFunctionsExpert
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If (f(x)=\frac{3x-1}{2x+5}), what is (f^{-1}(x))?

Answer and explanation

Correct answer: (\frac{5x+1}{3-2x})

Step 1: Write (y=\frac{3x-1}{2x+5}). Step 2: From (2xy+5y=3x-1), we get (x(3-2y)=5y+1). Step 3: Thus (x=\frac{5y+1}{3-2y}), and replacing (y) by (x) gives the inverse.

Related tags

FunctionsInverseRational-FunctionRelations And FunctionsMathematicsClass 12 Mcq
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  1. 1If (f:A\to B) is a function, what condition is necessary for every element of (A)?
  2. 2If (f(x)=2x+3), what is the value of (f(4))?
  3. 3In a function (f:A\to B), what is (A) called?
  4. 4In a function (f:A\to B), what is (B) called?
  5. 5If (f={(1,2),(2,4),(3,6)}), what is the domain of (f)?
  6. 6If (f={(1,2),(2,4),(3,6)}), what is the range of (f)?
  7. 7Which of the following relations from (A={1,2}) to (B={3,4}) is a function?
  8. 8If (f(x)=x^2) and the domain is ({-2,-1,0,1,2}), what is the range?
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  10. 10If f(x) = 3x − 1, what is the value of f(2) + f(0)?
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