What is the inverse function of the equation y 3x?

What is the inverse function of the equation y 3x?

Answer: The Inverse of y 3x is f-1(x) 1/3x.

How do you find the inverse of a function equation?

Finding the Inverse of a Function

  • First, replace f(x) with y .
  • Replace every x with a y and replace every y with an x .
  • Solve the equation from Step 2 for y .
  • Replace y with fu22121(x) f u2212 1 ( x ) .
  • Verify your work by checking that (fu2218fu22121)(x)x ( f u2218 f u2212 1 ) ( x ) x and (fu22121u2218f)(x)x ( f u2212 1 u2218 f ) ( x ) x are both true.
  • 19 Jun 2021

    What is the equation of an inverse function?

    Inverse Functions More concisely and formally, fu22121x f u2212 1 x is the inverse function of f(x) if f(fu22121(x))x f ( f u2212 1 ( x ) ) x . Inverse functions’ domain and range: If f maps X to Y , then fu22121 maps Y back to X .

    What is the inverse function of 3?

    The function:f(x)Subtract 3 from both sides:y-3Divide both sides by 2:(y-3)/2Swap sides:xSolution (put f-1(y) for x) :f-1(y)2 more rows

    Is the inverse of y 3x 1 a function?

    This is a linear relation and therefore a function (all linear relations are functions).

    What is the inverse equation of the function of Y 3x 6?

    y x/3 + 2 is the inverse function. y (x + 6)/3. is the inverse equation.

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