posted by .

Find a formula for the inverse of the function.

y=x^2-x, x>=(greater than or equal to) 1/2

Please give me a step by step explanation. I think my algebra is wrong... Ty


    x = y^2 - y

    y^2 - y + 1 = x + 1

    (y-1)^2 = x + 1

    y -1 = sqrt (x+1)

    y = 1 + sqrt (x+1)


    noticed an error from line 2 to line 3

    y^2 - y = x
    y^2 - y + 1/4 = x + 1/4
    (y - 1/2)^2 =(4x+1)/4

    y - 1/2 = ±√(4x+1)/2

    y = 1/2 ± √(4x+1)/2

    = (1 ± √(4x+1) )/2 , x ≥ -1/4


    Whoops !


    I don't understand. Why are you adding 1/4? to both sides? I don't see how you are getting a quadratic formula from this. More importantly, thank you guys for the help!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Could you show me step by step how to find the inverse of this problem: log with base of 2 (x+1) Thanks! It is not clear what the problem is. You are given a function of x. Let's calli it y. Are you trying to come up with an equation …
  2. Algebra II (Matrices)

    My book doesn't solve it like a linear equation, they solve it by using inverse matrices. Solve the matrix equation: |4 -5||m|=|32| |1 2| |n|=|-5| A= |4 -5| |1 2| X= |m| |n| B= |32| |-5| Step 1. Find the inverse of the coefficient …
  3. calculus

    Find the cubic function f(x)=ax^3+bx^2+cx+d that has a local max value of 3 at -2 and a local min values of 0 at 1. I have no idea how to solve this. Could you please give step by step answers and explanations for the steps. Thanks!
  4. Algebra II

    The question reads: Use synthetic division to find P(2) for P(x) = x^4 - 8x^3 - 8x^2 - 10x - 2 I have no idea how to do this problem. Could someone give me a step by step explanation or link me to somewhere I can find out how?
  5. Algebra help

    f(x)=x^3-4x^2-x+4 How do I find the x-intercept for this?
  6. grammar

    which is a prepositional pharse? voluntary muscles, which help move, are joined to your bones. i think its which help you move. identify the object of the preposition. riding the bus one day, rosa parks made an important step toward
  7. Math(Please check)

    The following function is one-to-one; find its inverse f(x)=x^3+5 I know that the first step would be to set y = to x so I did y=x^3+5 Then you swap x with y so x=y^3+5. Then you solve for y and this is where I think i messed up. I …
  8. Calculus

    Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. f(x) = 16 - 10 x Step 2: f(x + h) - f(x) = Step 4: f'(x) = lim(h->0)(f(x + h)- f(x))/h =
  9. Math

    y=arccos(sin(x)), find dy/dx and sketch it's graph(I guess I can do this on wolframalpha after I'm done solving the question). And by arcsin I mean inverse of the expression(written like cos^-1(sin(x)), but is not 1/cos(sinx) but the …
  10. Algerba

    Solve for x. Round answers to the thousandths place. 3^x=17 5.667 2.579 <-- 3.093 0.388 Given its parent function g(x)=(1/2)^x , what is the equation of the function shown. f(x)= -2(1/2)^x+1 f(x)= -(1/2)^x-3 <-- or A f(x)= -3(1/2)^x+1 …

More Similar Questions