Answer:
First Picture Answer:
x=0, x=2/3 are extraneous Solutions
Second Picture Answer:
(-infinity, -3)(-3, infinity)
Third Picture Answer:
x=3
Fourth Picture Answer:
x=0, x=2 is extraneous solution
Fifth Picture Answer:
x=3/2 is the vertical asymptote
Step-by-step explanation:
First Picture Answer:
x/4=x^2/x+2
Multiply each side with 4(x+2)
x(x+2)=4x^2
x^2+2x-4x^2=0
-3x^2+2x=0
Taking x Common
x(-3x+2)=0
x=0, -3x+2=0
x=0, x=2/3
Second Picture Answer:
f(x)=x-1/x+3
A rational function is simply a fraction and in a fraction the denominator cannot be equal zero because it would be undefined. To find which numbers make the fraction undefined, create an equation where the denominator is not equal to zero.
x+3 is not equal to 0
x is not equal to -3
so our domain is (-infinity, -3)(-3, infinity)
Third Picture Answer:
3x-5/7=4/7
Multiply with 7 on both sides
3x-5=4
3x-=9
x=9/3
x=3
Fourth Picture Answer:
4x^2=(3x^2+2)x
4x^2=3x^2+2x
4x^2-3x^2-2x=0
x^2-2x=0
x(x-2)=0
x=0, x-2=0
x=0, x=2
Fifth Picture Answer:
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. Set the denominator of the above fraction equal to zero and solve, this will tell the values that x can not be:
2x-3=0
x=3/2
so x cannot be 3/2 which is the vertical asymptote
Answer:
![-12y+20](https://tex.z-dn.net/?f=-12y%2B20)
Step-by-step explanation:
![\left(4-5y\right)-2\left(3.5y-8\right)](https://tex.z-dn.net/?f=%5Cleft%284-5y%5Cright%29-2%5Cleft%283.5y-8%5Cright%29)
Use distributive property.
![-2\left(3.5y-8\right)](https://tex.z-dn.net/?f=-2%5Cleft%283.5y-8%5Cright%29)
![-2\cdot \:3.5y-\left(-2\right)\cdot \:8](https://tex.z-dn.net/?f=-2%5Ccdot%20%5C%3A3.5y-%5Cleft%28-2%5Cright%29%5Ccdot%20%5C%3A8)
![-7y+16](https://tex.z-dn.net/?f=-7y%2B16)
![4-5y-7y+16](https://tex.z-dn.net/?f=4-5y-7y%2B16)
Now, add like terms.
![-5y-7y=-12y](https://tex.z-dn.net/?f=-5y-7y%3D-12y)
![\:4+16=20](https://tex.z-dn.net/?f=%5C%3A4%2B16%3D20)
![-12y+20](https://tex.z-dn.net/?f=-12y%2B20)
Im pretty sure the answer is F^-1(x) = x/3 - 4
Answer:
Step-by-step explanation:
(a-b)³=a³-b³-3ab(a-b)
(2n-1)³=(2n)³-1³-3(2n)(1)(2n-1)
=8n³-1-12n²+6n
=8n³-12n²+6n-1
Answer:
Option a and b are correct
Step-by-step explanation:
According to the triangle inequalities rule, sum of two sides of triangle must be greater than the third side.
The two sides given are 15 cm and 19 cm
Their sum is: 15+19 = 34
So, the third side should be less than 34
i.e if third side is x then 0<x<34
So, from given options value of x can be 6 cm or 4 cm
Option a and b are correct.