What is the inverse of y =- 2x 3?

What is the inverse of y =- 2x 3?

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.

What is the inverse function of y =- 2x 3?

Answer: The inverse of the function y 2×2 + 2 is f-1(x) u221a(x – 2) / u221a2.

Also Read: What is Y =- 3x 5 on a graph?

What is the inverse of y =- 2x 2?

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.

How do you find the inverse of a function?

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

Which function is the inverse of y =- 3x?

Answer: The inverse of the function y 2×2 + 2 is f-1(x) u221a(x – 2) / u221a2.

What is the inverse of the function g x )= 2x 3?

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

How do you find the inverse of 2x 2?

Answer : f-1(x) (x – 3) / 2. Let’s see how we will use the concept of transposition to find the inverse function. For finding inverse we will solve y 2x + 3 to write x as a function of y and that will be our inverse function.

How do you calculate the inverse of a function?

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.

Dec 5, 2019

What is the formula for inverse?

f-1(y) y/2 x, is the inverse of f(x). But, 1/f(x) 1/2x f(x)-1 is the reciprocal of function f(x).

What are the 3 steps to finding an inverse function?

Steps for finding the inverse of a function f.

  • Replace f(x) by y in the equation describing the function.
  • Interchange x and y. In other words, replace every x by a y and vice versa.
  • Solve for y.
  • Replace y by f-1(x).

What are the 4 steps for finding the inverse of a function?

How to Find the Inverse of a Function

  • STEP 1: Stick a y in for the f(x) guy:
  • STEP 2: Switch the x and y. ( because every (x, y) has a (y, x) partner! ):
  • STEP 3: Solve for y:
  • STEP 4: Stick in the inverse notation, continue. 123.

Which function is the inverse of y =- 3x 2?

1 Answer. Patrick H. The inverse is y13xu221223 .

What is the inverse of y =- 3x 4?

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.

Jun 19, 2021

What is the inverse of y =- 5x?

Divide x x by 1 1 . Since g(f(x))x g ( f ( x ) ) x , fu22121(x)x5 f – 1 ( x ) x 5 is the inverse of f(x)5x f ( x ) 5 x .

What is the inverse function of 2x 3?

Answer : f-1(x) (x – 3) / 2. Let’s see how we will use the concept of transposition to find the inverse function. For finding inverse we will solve y 2x + 3 to write x as a function of y and that will be our inverse function.

How do you find the inverse of 2x?

Answer: u221a[(x + 8) / 2] is the inverse of y 2x2 – 8. Let us proceed step by step.

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