# CALCULUS

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

• CALCULUS -

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)

• CALCULUS -

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

• CALCULUS -

Whoops !

• CALCULUS -

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!

## 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

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