Mathematics
Grade10
Easy

Question

Find the value of f (-1) for the function f left parenthesis x right parenthesis equals fraction numerator x minus 2 over denominator 3 end fraction

  1. 2
  2. 1
  3. 0
  4. -1

hintHint:

This question is about a function. A function is a relation between two sets such that every element of first set is related to only one element in second set. In this question, we are given the relation between the input and output of the function. We are asked to find the value of function for a specific value.

The correct answer is: -1


    The given function is f left parenthesis x right parenthesis equals fraction numerator x minus 2 over denominator 3 end fraction
    We have to find the value of f(-1)
    When we substitute the value of x in the function, we get the value of the function for that input.
    Here, we have x = -1
    We will replace all the x in the above equation by -1. Then, we will solve the equation and get the required value.
    space space space space f left parenthesis x right parenthesis space equals space fraction numerator x space minus space 2 over denominator 3 end fraction
space f left parenthesis negative 1 right parenthesis space equals fraction numerator left parenthesis negative 1 right parenthesis space minus 2 over denominator 3 end fraction
space space space space space space space space space space space equals space fraction numerator negative 3 over denominator 3 end fraction
space space space space space space space space space space space equals space minus 1
    So, for the given function f(-1) = -1.

    For such questions, we should know the concept of the function.

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