Answer:
Domain (-∞,∞). Range= f(x) >-5
Step-by-step explanation:
1) Since we are dealing with a polynomial function with no algebraic restrictions, no denominators, no variables at the exponents, no square roots, etc. And it is a continuous function the Domain is the whole Real Line the Real set of Numbers.
2) As the Range, we have to deal with the combined inverse of this polynomial function.
Do the inversion
![y^4-2x^2-2-x=0](https://tex.z-dn.net/?f=y%5E4-2x%5E2-2-x%3D0)
Then susbtitute u²=
and u=y² back substitute then solve
Jus like this
![u^2-2u-4-x=0](https://tex.z-dn.net/?f=u%5E2-2u-4-x%3D0)
![u=1+\sqrt{x+5}](https://tex.z-dn.net/?f=u%3D1%2B%5Csqrt%7Bx%2B5%7D)
![u=1-\sqrt{x+5}](https://tex.z-dn.net/?f=u%3D1-%5Csqrt%7Bx%2B5%7D)
Back substitute and then solve it for y:
y²=x+![1+\sqrt{x+5}](https://tex.z-dn.net/?f=1%2B%5Csqrt%7Bx%2B5%7D)
![y'=\sqrt{1+\sqrt{x+5}}\\ y"=-\sqrt{1-\sqrt{x+5}}](https://tex.z-dn.net/?f=y%27%3D%5Csqrt%7B1%2B%5Csqrt%7Bx%2B5%7D%7D%5C%5C%20y%22%3D-%5Csqrt%7B1-%5Csqrt%7Bx%2B5%7D%7D)
Then y>-5 R=(-5,∞)
Answer:
![x=-\dfrac{17}{26}](https://tex.z-dn.net/?f=x%3D-%5Cdfrac%7B17%7D%7B26%7D)
Step-by-step explanation:
![4(7x-1)=3(2x+1)-4(x+6)](https://tex.z-dn.net/?f=4%287x-1%29%3D3%282x%2B1%29-4%28x%2B6%29)
Expand parentheses:
![28x-4=6x+3-4x-24](https://tex.z-dn.net/?f=28x-4%3D6x%2B3-4x-24)
Combine like terms:
![28x-4=2x-21](https://tex.z-dn.net/?f=28x-4%3D2x-21)
Subtract 2x from both sides:
![26x-4=-21](https://tex.z-dn.net/?f=26x-4%3D-21)
Add 4 to both sides:
![26x=-17](https://tex.z-dn.net/?f=26x%3D-17)
Divide both sides by 26:
![x=-\dfrac{17}{26}](https://tex.z-dn.net/?f=x%3D-%5Cdfrac%7B17%7D%7B26%7D)
Hope this helps!
Answer:
f(x)=2|x|
Step-by-step explanation:
graphing calculators work wonderz
Answer:
π/6 and 5π/6
Step-by-step explanation:
Graphing the equation or using a unit circle, we can find these values out pretty easily
Answer:
$2 was the dollar gain for the stock XYZ