inverse

the direction was to find f^(-1)x.

f(x) = x^2+2x+1, x >= -1

as a final answer, I got:
f^(-1)x = sqrt(x) - 1, x >= 0

is this right? I don't understand the restriction rules.


It is right. If originally x>=-1, that puts f(x) >=0, and in the inverse function, this restriction travels to the new domain.


kristie, Bob is correct. The restriction rule carries to f-inv.
In general, even funcions, those with a poly. whose degree is an even integer, must be restricted. They are not 1-1. 1-1 means that each horizontal line through f(x) intersects f in at most one point.
Note that restricting f here makes it 1-1, thus invertible.

  1. 👍 0
  2. 👎 0
  3. 👁 79

Respond to this Question

First Name

Your Response

Similar Questions

  1. ap physics

    A force of magnitude Fx acting in the x-direction on a 2.55-kg particle varies in time as shown in the figure below. (Indicate the direction with the sign of your answer.) (a) Find the impulse of the force. (Give your answer to

    asked by alba on February 22, 2015
  2. physics

    Erica throws a ball out of a window with a horizontal speed of 3.8m/s. If the ball hits the ground 15m away, how high up is the window? My work: X-direction v1x=3.8m/s v2x=3.8m/s a=0m/s2 d=15m y-direction I don't know how to find

    asked by anisa on November 3, 2014
  3. physics

    A 0.400 glider is moving to the right on a frictionless, horizontal air track with a speed of 0.800 when it makes a head-on collision with a stationary 0.150 glider.Find the magnitude of the final velocity of first glider if the

    asked by lorena on October 27, 2011
  4. University Physics

    Betty Bodycheck (mB = 60.3 kg, vB = 22.0 km/h in the positive x-direction) and Sally Slasher (mS = 44.5 kg, vS = 28.0 km/h in the positive y-direction) are both racing to get to a hockey puck. Immediately after the collision,

    asked by AP on October 8, 2012
  5. Physics

    The mass of ball A is 10kg and the mass of ball B is 5kg. If the initial velocity is set to 3 meters per sec for each ball, what is the final velocity of ball B if the final velocity of ball A is 2 meters per second? Use the

    asked by Anonymous on January 21, 2018
  6. Physical science b

    The mass of ball A is 10kg and the mass of ball B is 5kg. If the initial velocity is set to 3 meters per sec for each ball, what is the final velocity of ball B if the final velocity of ball A is 2 meters per second? Use the

    asked by Anonymous on January 21, 2018
  7. Physics

    Betty Bodycheck (mB = 55 kg, vB = 22.0 km/h in the positive x-direction) and Sally Slasher (mS = 45 kg, vS = 28.0 km/h in the positive y-direction) are both racing to get to a hockey puck. Immediately after the collision, Betty is

    asked by Trouble on October 19, 2014
  8. Physics

    Betty Bodycheck (mB = 55 kg, vB = 22.0 km/h in the positive x-direction) and Sally Slasher (mS = 45 kg, vS = 28.0 km/h in the positive y-direction) are both racing to get to a hockey puck. Immediately after the collision, Betty is

    asked by Irving on October 19, 2014
  9. physics

    The mass of ball A is 10 kilograms and the mass of ball B is 5 kilograms. If the initial velocity is set to 3 meters per second for each ball, what is the final velocity of ball B if the final velocity of ball A is 2 meters per

    asked by NBA Youngboy on January 30, 2017
  10. Science

    The mass of ball A is 10 kilograms and the mass of ball B is 5 kilograms. If the initial velocity is set to 3 meters per second for each ball, what is the final velocity of ball B if the final velocity of ball A is 2 meters per

    asked by Need Help on March 19, 2019
  11. Physics 1 Collision Math

    Mass A, 2.0kg , is moving with an initial velocity of 7 m/s in the +x-direction, and it collides with mass B,4.0kg , initially moving in the +x-direction. After the collision, the two objects stick together and move as one. What

    asked by Anonymous on August 31, 2017

More Similar Questions