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Subjects
Class 11MathematicsRelations and FunctionsReal-Valued Functions, Their Domain and RangeEasy
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If \(f(x)=\sqrt{x+1}\), what is the value of \(f(8)\)?

Answer and explanation

Correct answer: 3

Substituting \(x=8\) into the function gives \(f(8)=\sqrt{8+1}=\sqrt{9}=3\). Therefore, the correct value is 3. The value 9 is the radicand before taking the square root, not the function value. Exam tip: simplify the expression inside the square root first, and then evaluate the root.

Related tags

Function ValueSquare RootReal Valued FunctionsClass 11Their Domain And RangeReal Valued Functions Their Domain And RangeRelations And FunctionsMathematics
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10 more MCQs
  1. 1If A = {1,2,3} and R = {(1,2),(2,3)}, which element is in the domain of R but not in its range?
  2. 2If R={(2,5),(4,7),(6,9)}, what is the range of R?
  3. 3If A={1,2,3,4} and R={(a,b): a,b∈A, a+2=b}, what is the domain of R?
  4. 4What is the range of the relation \(R=\{(x,y): y=x^2,\ x\in\{-2,-1,0,1,2\}\}\)?
  5. 5If \(f:A\to B\) is a function, what is \(A\) called?
  6. 6What is the range of the function f = {(1,5), (2,5), (3,6)}?
  7. 7What is the domain of the function \(f=\{(2,4),(3,9),(4,16)\}\)?
  8. 8If \(f(x)=x+2\) and its domain is \(\{1,2,3\}\), what is the value of \(f(2)\)?
  9. 9If \(f(x)=x-1\) and \(A=\{2,3,4\}\), what is \(f(A)\)?
  10. 10If \(A=\{1,4,9\}\) and the function \(f(x)=\sqrt{x}\), what is \(f(A)\)?
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