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, )
Answer:
The 80% confidence interval for difference between two means is (0.85, 1.55).
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for difference between two means is:
Given:
Confidence level = 80%
*Use a <em>t</em>-table for the critical value.
Compute the 80% confidence interval for difference between two means as follows:
Thus, the 80% confidence interval for difference between two means is (0.85, 1.55).
Answer:
56
Step-by-step explanation:
Perimeter= 4S
Perimeter= 4(5)
Perimeter= 20
Perimeter 2= 2(L+W)
Perimeter 2= 2(11+7)
Perimeter 2= 22+14
Perimeter 2= 36
Total Perimeter= P1+P2
Total Perimeter= 20+36
Total Perimeter= 56
20, you just need to substitute the x value in the equation
(-2)2-7(-2)+10=
=20
Answer:
20%/100 = 8 peeps / 40 items in the basket
(40 total items)
Step-by-step explanation:
Let x be the total number of items in the basket. The ratio of peeps to the total item is 1/5. Therefore,
1/5 = 8/x
x = 40
40 total items
