Answer:
option (a) f(x)= 1/x+2
Step-by-step explanation:
(a) f(x) = 1/ x+2
To find the restriction for domain , we set the denominator =0 and solve for x
x+2 =0, so x=-2
When x=-2 then denominator becomes 0 that is undefined.
So, domain is all real numbers except -2
(b) f(x)= 2x
In this function, there is no denominator or square root or log function
so there is no restriction for x, hence domain is all real numbers
(c) f(x) = 2x-2
In this function, there is no denominator or square root or log function
so there is no restriction for x, hence domain is all real numbers
f(x) = 1/ sqrt(x+2)
if we have square root in the denominator then we set the denominator >0 and solve for x. because square root of negative values are undefined
x+2>0, x>-2
Hence domain is all real numbers that are greater than -2
Answer:
<em>i believe it would be 12</em>
Step-by-step explanation:
Anything to the zero power is 1. One times 12 gives you your grand answer of 12!
Answer:
I'm pretty sure it's $98.10
Step-by-step explanation:
$90*.09=8.1
90+8.1=98.1
which can also be written as $98.10
Answer:
y = 8
x = 9
Step-by-step explanation:
given equation,
x + y = 17 ........(1)
9 x - y = 73...........(2)
writing in matrix form
A X = B
![\begin{bmatrix}1 &1 \\ 9 &-1 \end{bmatrix} \begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}17\\73 \end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D1%20%261%20%5C%5C%209%20%26-1%20%5Cend%7Bbmatrix%7D%20%5Cbegin%7Bbmatrix%7Dx%5C%5C%20y%5Cend%7Bbmatrix%7D%3D%5Cbegin%7Bbmatrix%7D17%5C%5C73%20%5Cend%7Bbmatrix%7D)
using augamented matrix A|B
![\begin{bmatrix}1 &1& 17\\ 9 & -1 & 73\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D1%20%261%26%2017%5C%5C%209%20%26%20-1%20%26%2073%5Cend%7Bbmatrix%7D)
using row transformation
R₂ = R₂ - 9 R₁
![\begin{bmatrix}1 &1& 17\\ 0 & -10 & -80\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D1%20%261%26%2017%5C%5C%200%20%26%20-10%20%26%20-80%5Cend%7Bbmatrix%7D)
now,
![\begin{bmatrix}1 &1 \\ 0 &-10 \end{bmatrix} \begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}17\\-80 \end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D1%20%261%20%5C%5C%200%20%26-10%20%5Cend%7Bbmatrix%7D%20%5Cbegin%7Bbmatrix%7Dx%5C%5C%20y%5Cend%7Bbmatrix%7D%3D%5Cbegin%7Bbmatrix%7D17%5C%5C-80%20%5Cend%7Bbmatrix%7D)
now
-10 y = -80
y = 8
and
x + y = 17
x = 17 -8
x =9
The answer is D 1078 cm or it might be 1615