Thanks for your reply. I really appreciate that. But I still don't get it as if you said there is a curve between -1.62 and .62, what is the turning point? It's can be 0 isn't it?
As i mentioned before, the inner range is probably -2/5 because you can just factorize the y from (y-2)x^2 +...
yes that is the question but might be placed in wrong section. First, you try to solve the real linear factor for denominator which is not the exist here. 2nd I don't think vertical asymptote exist as first if you factorize it, it will always not equal to 0 both denominator and numerator.
It's not x = -2/5 but it's y = -2/5. And => is more 'than or equal' and otherwise. Let me show you my work
First I rearrange this into like this
from y = (2x^2 + 2x + 1)/(x^2 + x - 1 ) into y(x^2 + x - 1 ) - (2x^2 + 2x + 1) = 0. Then i use b^2 - 4ac => 0 and compare the coefficient from...
1. Homework Statement
Find the image set of function
fx = (2x^2 + 2x + 1)/(x^2 + x - 1 )
The attempt at a solution
1. multiply the denominator with y and then assume x is real i get
(y-2)^2 - 4(y - 2)(-y-1) => 0
5y^2 - 8y - 4 => 0
y = 2 and y = -2/5
But the answer is y => 2...
Homework Statement
Find the image set of function
fx = (2x^2 + 2x + 1)/(x^2 + x - 1 )
The attempt at a solution
1. multiply the denominator with y and then assume x is real i get
(y-2)^2 - 4(y - 2)(-y-1) => 0
5y^2 - 8y - 4 => 0
y = 2 and y = -2/5
But the answer is y => 2 and...
Hello, please i still don't get it. I sketch 2 graph from the equation and at x = 0, there is a line there. But why f'(x) for e^|x| is undefined when x = 0?
Homework Statement
a)How to differentiate fx=e^|x|?
b)Why when x = 0, f'(x) is undefined
Homework Equations
The Attempt at a Solution
Is it d/dx e^|x| = e^|x|? I have no idea for this question.
Homework Statement
a. Find the value of x such as fx < gx where fx = |2x -1| and gx = x(2-x)
b. evaluate \displaystyle\int^1_0 [gx - fx]\,dx Homework Equations
none
The Attempt at a Solution
For question a I make it into 2 equation to 2x-1 = 2x-x^2 and 1 - 2x = 2x - x^2. I solve it and find...
\left(
\begin{array}{ccc}
0 & -5 & 3 \\
3 & 14 & 0 \\
0 & 5 & -3 \\
\end{array}
\left|
\begin{array}{c}
2 & -5 & -2 \\
\end{array}
\right)
By the way, I already get it. The answer is y/3 = (z-2)/3 = (x+(5/3))/-14. Thanks both of you