Answer:
a) for all values of x that are in the domains of f and g.
b) for all values of x that are in the domains of f and g.
c) for all values of x that are in the domains of f and g with g(x)≠0
Step-by-step explanation:
a) By definition (f+g)(x)=f(x)+g(x). Then x must be in the domain of f and g.
b) By definition (fg)(x)=f(x)g(x). Then x must be in the domain of f and g.
c) By definition (f/g)(x)=f(x)/g(x). Then x must be in the domain of f and g and g(x) must be different of 0.
Answer:
Henry would need 12 cans to cover the court
Step-by-step explanation:
1: 30 times 54 = 1620
2: 1620 divided by 135 = 12
Answer:
.
Step-by-step explanation:
The inverse is basically you just swapping x and y. People want to solve it for y to make it a function of x.

Swap x and y:

Now solve for y by dividing y on both sides:


.
Answer:

Step-by-step explanation:
Given Surface Area of Cylinder =
,
and also given r = 4.25 inches and h = 6 inches.
Let's Substitute r and h into the formula to find the total surface area.
Surface Area of Cylinder = 
Answer:
(2, - 6 )
Step-by-step explanation:
Given the 2 equations
x =
y + 5 → (1)
2x + 3y = - 14 → (2)
Substitute x =
y + 5 into (2)
2(
y + 5 ) + 3y = - 14 ← distribute and simplify left side
y + 10 + 3y = - 14
4y + 10 = - 14 ( subtract 10 from both sides )
4y = - 24 ( divide both sides by 4 )
y = - 6
Substitute y = - 6 into (1) for corresponding value of x
x = (0.5 × - 6 ) + 5 = - 3 + 5 = 2
Solution is (2, - 6 )