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:
The steps are numbered below
Step-by-step explanation:
To solve a maximum/minimum problem, the steps are as follows.
1. Make a drawing.
2. Assign variables to quantities that change.
3. Identify and write down a formula for the quantity that is being optimized.
4. Identify the endpoints, that is, the domain of the function being optimized.
5. Identify the constraint equation.
6. Use the constraint equation to write a new formula for the quantity being optimized that is a function of one variable.
7. Find the derivative and then the critical points of the function being optimized.
8. Evaluate the y-values of the critical points and endpoints by plugging them into the function being optimized. The largest y- value is the global maximum, and the smallest y-value is the global minimum.
9514 1404 393
Answer:
6/2
Step-by-step explanation:
The slope is given by ...
slope = (y2 -y1)/(x2 -x1)
slope = (13 -7)/(4 -2) = 6/2
__
The value of the slope can be simplified to ...
slope = 3
Answer:
y - 4 = 3(x-3)
Step-by-step explanation: