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3 years ago

Question 1 (1,2), (-5, –3), (-7,3), (8, 7) represents a function. True False

Mathematics

1 answer:

lara [203]3 years ago

3 0

True (no one input gives two different outputs) good luck!

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Consider the functions f(x) = 2x + 1 and g(x) = x^2 − 10 What is the value of f[g(3)]?

HACTEHA [7]

Answer:

-1

Step-by-step explanation:

Tip: Remember to always start from the inside, which would be g(3), in this case.

The first step in solving this problem is to solve for g(3).

To accomplish this, you must substitute 3 for x into the given equation g(x) = x^2 - 10

g(3) = 3^2 - 10
g(3) = 9 - 10
g(3) = -1

The next step is to substitute the answer of g(3), -1, for x in the given equation f(x) = 2x + 1.

Because the equation is asking for f[g(3)], it becomes f(-1) because g(3) = -1.

f(-1) = 2(-1) + 1
f(-1) = -2 + 1
f(-1) = -1

Therefore, f[g(3)], or f(-1), equals -1

6 0

3 years ago

What is the domain and range of each function

yKpoI14uk [10]

Answer:

1. Domain: (3, 5, 7, 8, 11)

Range: ( 6, 7, 9, 14)

2. Domain: (-3, -1, 2, 5, 7)

Range: (-7, -5, -4, 5, 9)

Step-by-step explanation:

The domain is the set of all x values in the function. The range is the set of all y values in the function. It is written in parenthesis from least to greatest. Do not repeat values even if the function has them more than once.

1. Domain: (3, 5, 7, 8, 11)

Range: ( 6, 7, 9, 14)

2. Domain: (-3, -1, 2, 5, 7)

Range: (-7, -5, -4, 5, 9)

6 0

3 years ago

What is the range of the following relation?<br> {(100, 52), (805, -46), (945, 52), (-54, -46)}

saw5 [17]

R:{-46, 52}. You cannot repeat any numbers and the order is from least to greatest.

7 0

3 years ago

Read 2 more answers

Solve the following system of equations using Substitution: Submit your answer as an ordered pair. 2x−3y=32x-3y=32x−3y=3 x=y+2x=

exis [7]

9514 1404 393

Answer:

(3, 1)

Step-by-step explanation:

We assume you want the solution to the system ...

2x−3y=3
x=y+2

The second equation gives a nice expression for x, so we can use that in the first equation.

2(y+2) -3y = 3 . . . . substitute for x in the first equation

2y +4 -3y = 3 . . . . . eliminate parentheses

-y = -1 . . . . . . . . . . . collect terms, subtract 4

y = 1 . . . . . . . . . . . . multiply by -1

x = 1 +2 = 3 . . . . . . substitute for y in the second equation

The solution is (x, y) = (3, 1).

4 0

3 years ago

Bernice estimated that 69% of 242 is 168. Is her estimate reasonable?

ycow [4]

Her estimate is not reasonable.

Since she estimated 69%, you could do either of these options. You could...
A. Divide 242 (or .5) to show how much half off would be, then compare her estimate with half of 242 (121). OR...
B. Simply divide 242 by 69% (.69) and compaor her estimate to the exact amount (166.98).

I hope this helps!

6 0

3 years ago