General
General
Easy

Question

Solve for  in terms of  for the given y equals 1 third left parenthesis x minus 5 right parenthesis

  1. x equals 3 left parenthesis y space plus space 5 right parenthesis
  2. x equals 3 y space minus space 5
  3. x equals 3 y space plus space 5
  4. x equals 3 left parenthesis y space minus space 5 right parenthesis

hintHint:

We are given an equation. We have to find the equation in terms of y. It means we have to find the inverse of the function.

The correct answer is: x equals 3 y space plus space 5


    The given functions is y equals 1 third left parenthesis x space minus space 5 right parenthesis
    We will find the equation in terms of y.
    We will multiply both the sides 3.
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell y equals space 1 third left parenthesis x space minus space 5 right parenthesis end cell row cell 3 y space equals x space minus space 5 end cell row cell 3 y space plus space 5 space equals space x end cell end table
    This is the required equation.

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

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