math

what is the inverse of (x-3)^2+2
((x-3)squared plus 2))

  1. 👍 0
  2. 👎 0
  3. 👁 101
  1. Do you have a function called

    y = (x-3)^2 + 2((x-3)^2 + 2)) ?
    then
    y = (x-3)^2 + 2(x-3)^2 + 4
    = 3(x-3)^2 + 4

    to take the inverse,
    1. exchange the x and y variables
    2. solve the new equation for y

    so
    x = 3(y-3)^2 + 4
    3(y-3)^2 = x-4
    (y-3)^2 = (x-4)/3

    y-3 = ±√(x-4)/√3
    y = 3 ± √(x-4)/√3

    1. 👍 0
    2. 👎 0
    posted by Reiny
  2. It looks to me like your wrote the same function twice.

    If you meant to write just
    y = (x-3)^2 +2, then:
    sqrt(y-2) = x-3

    x = sqrt(y-2) + 3
    and the inverse function is
    y = sqrt(x-2) + 3

    1. 👍 0
    2. 👎 0
    posted by drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Find the shortcut. Solve these problems. Then find and explain a shortcut method for finding the answer. 52(Squared) - 42 (squared) = 82 (Squared) - 72 (Squared) = 122 (Squared) - 112 (Squared) = 312 (Squared) - 302 (Squared) =

    asked by Anonymous on December 4, 2014
  2. math

    How do i find the area of a triangle? For example: A squared + b squared= c squared 8.5 squared + 6.4 squared= c squared 72.25 + 40.96= c squared 113.21=c squared 10.6400188=c even tho i thought this was the answer it is not

    asked by samantha on August 29, 2008
  3. MATH

    My Math work instructions is place the numbers from least to greatest. 7 squared, 2, 8/2 squared = 2, seven squared, and 8/2 squared. 10 squared, pi, 3.5 = pi, 3.16, 3.5. 220 squared, -10, 100 squared, 11.5 = -10, 220 squared, 100

    asked by TAMARA on September 1, 2015
  4. algebra 2 multiple choice HELP

    find f(a), if f(t) = 2t2(squared)-t-2 A. 2(a+t)2(squared)-2t+1-2 B. 2(t+a)2(squared)-2(t+a)-2 C. 2a2(squared)-a-2 D. 4a2(squared)-2a-2 I put (squared) because the two in front of it means it's being squared... please help. thanks!

    asked by sara on November 30, 2010
  5. Math

    My Math work instructions is place the numbers from least to greatest. 7 squared, 2, 8/2 squared = 2, seven squared, and 8/2 squared. 10 squared, pi, 3.5 = pi, 3.16, 3.5. 220 squared, -10, 100 squared, 11.5 = -10, 220 squared, 100

    asked by Tamara on September 1, 2015
  6. Math11U

    A Pythagorean Triple is a set of integers that satisfy the Pythagorean Theorem, c squared= a squared + b squared. 3,4,5 and 5,12,13 are just two of many examples. Find another, that is not a multiple of the one of the two given,

    asked by Kitkat on July 25, 2010
  7. math

    i am having a minor difficulty i've been stuck for over an hour and don't know what to do i don't know is this right ? = "+" or "-" # = number y=x (x+1)squared + (y+1)squared = 6 i substitute y (x+1)squared + (x+1)squared = 6 x

    asked by larry on February 23, 2010
  8. 10th Grade Algebra

    Please help me with these factorise algebra questions!!! 1. 9c squared + 30c + 25 - 4d squared 2. 12 + 89 - 4a squared 3. -5x squared + 27x - 10 4. If A= 15x squared - 20x +11 and B= 1 + 9x+ 5x squared, then A-B when factorised

    asked by Jason on May 1, 2011
  9. Math

    I need help with this problem. In decimal form, write the ratio of the first 8 consecutive square numbers. 1 squared:2 squared, 2 squared:3squared, 3 squared:4 squared

    asked by Mark on November 5, 2009
  10. algerbra

    i have to simply the expression 3x squared-10+4x+8-x squared, so far i have this 1x squared+4x-2 3x squared-1xsqaured+4x -10+8 2x squared+4x-2 i know its kinda confusing becasue i type sqaured so many time, am i on the right

    asked by julie on September 22, 2009

More Similar Questions