Maths-
General
Easy

Question


The table above shows some values of the functions w and t . For which value of x is w left parenthesis x right parenthesis plus t left parenthesis x right parenthesis equals x ?

  1. 1
  2. 2
  3. 3
  4. 4

hintHint:

Hint:
  • When we have a table of data, and we have to check whether the condition is true or not, we put random data from the table one by one.

The correct answer is: 2


    Explanation:
    • We have given a table of data of the function w (x) and t (x) for different values of x
    • We have to find for what value of x,w left parenthesis x right parenthesis plus t left parenthesis x right parenthesis equals x
    • Now, we will put the different values of w left parenthesis x right parenthesis comma t left parenthesis x right parenthesis , and x  from the table and then find the for what x the given condition is true.
    Step 1 of 1:
    As given in the question, we have a table of functions w (x) and t(x) for different values of x.
    i e,


    Now, for x = 1
    w left parenthesis x right parenthesis plus t left parenthesis x right parenthesis
    negative 1 plus left parenthesis negative 3 right parenthesis
    negative 4
    Here,
    w left parenthesis x right parenthesis plus t left parenthesis x right parenthesis not equal to x
    For x = 2,
    w left parenthesis x right parenthesis plus t left parenthesis x right parenthesis
    3 plus left parenthesis negative 1 right parenthesis
    2
    Here we can say
    w left parenthesis x right parenthesis plus t left parenthesis x right parenthesis equals x
    For x = 3
    w left parenthesis x right parenthesis plus t left parenthesis x right parenthesis
    4 plus 1
    5
    w left parenthesis x right parenthesis plus t left parenthesis x right parenthesis not equal to x
    text  For  end text x equals 4
    w left parenthesis x right parenthesis plus t left parenthesis x right parenthesis
    3 + 3
    6
    w left parenthesis x right parenthesis plus t left parenthesis x right parenthesis not equal to x
    So, Option (b) is correct
    text  For  end text x equals 2 text  the condition  end text w left parenthesis x right parenthesis plus t left parenthesis x right parenthesis equals x text  is true.  end text
    Final answer:
    Hence, For x = 2, the condition w(x) + t(x) = x is true.

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