The sum of functions is given as:

In this case we have:
![(f+g)(x)=5x+\sqrt[]{x-1}](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D5x%2B%5Csqrt%5B%5D%7Bx-1%7D)
The domain of the functions is any number that makes the squared root a real number, then:

Hence the domain of the functions is:
Answer:
12 years
Step-by-step explanation:
T + 5 = A
Therefore T =A - 5
In three years T = 3+ (A-5)
thus T = A - 2
Also in three years T = 2/3 (A+3)
Equating the two
A -2 = 2/3 (A+3)
3A - 6 = 2A + 6
3A - 2A = 6 + 6
Therefore A = 12
The correct answer is 60cm^2 because the area of a triangle is half base*height -> 30/2*40
Answer:
The price of each book without sales tax
Step-by-step explanation:
Answer:
"a" must be negative
Step-by-step explanation:
The slope between points (-1, 1) and (1, -1) is a minimum of (-1-1)/(1-(-1)) = -1.
The slope between points (1, -1 and (3, -4) is a maximum of (-4-(-1))/(3-1) = -3/2.
Thus, as x increases, the slope is decreasing. In order for that to be the case, the value of <em>a</em> must satisfy a < 0.