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Class 12MathematicsRelations and FunctionsReflexive relationMedium
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If \(f(x)=2x+3\) and \(f(a)=11\), what is the value of \(a\)?

Answer and explanation

Correct answer: 4

Substituting \(a\) for \(x\) in \(f(x)=2x+3\) gives \(f(a)=2a+3\). Thus, \(2a+3=11\), so \(2a=8\) and \(a=4\). Option C, 5, is incorrect because it would give \(f(5)=13\), not 11. Exam tip: substitute the given input into the function rule, solve the resulting equation, and verify the answer in the original function.

Related tags

Function EquationLinear FunctionUnknown InputAlgebraReflexive RelationRelations And FunctionsMathematicsClass 12 Mcq
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10 more MCQs
  1. 1Which relation is reflexive on A={1,2,3}?
  2. 2For a set A with 3 elements, how many relations are not reflexive?
  3. 3What is the correct identification of a reflexive relation?
  4. 4If (A={1,2,3}), which pairs are compulsory for a reflexive relation on (A)?
  5. 5Let (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2)}). What type of relation is (R)?
  6. 6Let (A={1,2,3}) and (R={(1,1),(2,2),(1,3)}). Why is (R) not reflexive?
  7. 7If (A) has 4 elements, what is the minimum number of pairs in a reflexive relation on (A)?
  8. 8If (A={a,b,c,d}), which is the minimum reflexive relation?
  9. 9On a non-empty set (A), what kind of relation is the universal relation (A \times A)?
  10. 10Why is the empty relation (\varnothing) not reflexive on a non-empty set (A)?
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