Use the graphs of f and g to solve exercises 87, 88, and 89. 87. find the domain of f + g. 88. find the domain of [tex]rac{f}{g}[/tex]. 89. graph f + g. (you can just explain how to graph it for #89.)

Mathematics, 15.09.2019 03:10 savyblue1724707

Use the graphs of f and g to solve exercises 87, 88, and 89.
87. find the domain of f + g.
88. find the domain of $\frac{f}{g}$ .
89. graph f + g.
(you can just explain how to graph it for #89.)

Use the graphs of f and g to solve exercises 87, 88, and 89. 87. find the domain of f +

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Answer from: kaylaamberd

Answers and explanations:

87. The domain of added functions includes the restrictions of both. So the range of the added function in this question is [-4, 3]

88. When finding the domain of a divided function we do the same as adding, but with an extra rule: g can't equal zero. So for this question the domain is (-4, 3)

89. To graph f + g you add the y-values for each x-value. I added a picture to help explain this one!

Use the graphs of f and g to solve exercises 87, 88, and 89. 87. find the domain of f + g. 88. find

Answer from: Taylor73836

87. [-4, 3]

88. (-4, 3)

89. See Attachment

General Formulas and Concepts:

Algebra I

Reading a Cartesian PlaneCoordinates (x, y)FunctionsFunction NotationDomains - the set of x-values that can be inputted into a function f(x)[Interval Notation] - Brackets are inclusive, (Parenthesis) are exclusive

Step-by-step explanation:

*Notes:

When adding functions, the domain of the new function is defined as the intersections of the domains of f and gWhen dividing functions, the domain of the new function is defined as the intersections of the domains of f and g except for the points where g(x) = 0 (this is because we cannot divide by 0)

Step 1: Define

Identify the domains of each function.

Domain of f(x): [-4, 3]

Domain of g(x): [-5, 5]

Step 2: Find 87.

Determine the x-values for each function that overlap/intersect.

f(x) and g(x) have intersect from -4 to 3.

Domain f + g: [-4, 3]

Step 3: Find 88.

Determine the x-values for which g(x) = 0.

The function g(x) equals 0 at x = -4 and x = 3. Therefore, these x-values are excluded in the domain.

Domain of f/g: (-4, 3)

Step 4: Find 89.

To draw a graph of the f + g, we must combine the y-values for each x-value domain in a t-chart and plot by hand.

x | f(x) x | g(x) x | f + g

-4 5 -4 0 -4 5

-3 4 -3 1 -3 5

-2 3 -2 2 -2 5

-1 3 -1 2 -1 5

0 2 0 1 0 3

1 1 1 1 1 2

2 -1 2 1 2 0

3 -3 3 0 3 -3

Answer from: Quest

Letter b sorry i’m i’m wrong xx

Answer from: Quest

image result for what is another name for consecutive interior angles?

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation:

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Use the graphs of f and g to solve exercises 87, 88, and 89.
87. find the domain of f + g.

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