Answer:
fog = 2√(x-1) + 1
Domain = [1, 
)
Step-by-step explanation:
Given the functions f(x)=2x+1 and g(x)=sqrt(x-1), we are to find the composite function fog
fog = f(g(x))
f(g(x)) = f(√(x-1))
f(√(x+1)) means that we are to replace variable x in f(x) with the function √(x-1)
f(√(x-1)) = 2(√(x-1))+1
f(√(x+1)) = 2√(x-1) + 1
fog = 2√(x-1) + 1
<em>For the function to exist on any real valued function, then the function inside square root i.e x-1 must be greater than or equal to zero (x-1≥0)</em>
If x-1≥0
x≥0+1
x≥1
This means the range of variable x must be values of x greater than or equal to 1.
Domain = [1, )
KX = x+4 so solve for k.
Divide both sides of the equation by x and you get K=4.
Plug it in, and you get (4)(7)=28
Your answer is 28.
Answer:
y > -2/3x + 3
Step-by-step explanation:
Well lets first start with the beginning and look at its features.
<u> Features </u>
- Dashed line
- Shaded up
- negative slope
- y intercept at 3
____________________________________________________________
So if the line is dashed with the shade going up that means the inequality starts like this,
y >
We can tell that the y intercept is at 3 because that the point the line touches the y axis.
So we got y > 3,
To find slope we use the following formula,
,
So we can use points (0,3) and (3,1).
1 is y2 and 3 is y1 so 1 - 3 = -2
3 - 0 = 3
Slope: -2/3x
<em>Thus,</em>
<em>the inequality is y > -2/3x + 3.</em>
<em />
<em>Hope this helps :)</em>
Answer:
x = 1 or x = -3/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 + x - 3 = 0
The left hand side factors into a product with two terms:
(x - 1) (2 x + 3) = 0
Split into two equations:
x - 1 = 0 or 2 x + 3 = 0
Add 1 to both sides:
x = 1 or 2 x + 3 = 0
Subtract 3 from both sides:
x = 1 or 2 x = -3
Divide both sides by 2:
Answer: x = 1 or x = -3/2
Answer:
Option A.
Step-by-step explanation:
Area of a square is
.... (1)
where, x is side length.
The length of each side of his square plot is decreasing at the constant rate of 2 feet/year.
It is given that bob currently owns 250,000 square feet of land.
Fist find the length of each side.
Taking square root on both sides.
Differentiate with respect to t.
Substitute x=500 and 
in the above equation.
Farmer bob is losing 2,000 square feet of land per year.
Therefore, the correct option is A.
