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Ganezh [65]
3 years ago
13

Let \[f(x) = \frac{3x - 7}{x + 1}.\] find the domain of f. give your answer as an interval.

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
5 0
The domain of f is all real numbers except for -1.

so the domain is x ∈ (-∞,-1)U(-1,∞)
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Find the limit , picture provided
V125BC [204]

Answer:

d. does not exist

Step-by-step explanation:

The given limits are;

\lim_{x \to 4} f(x) =5, \lim_{x \to 4} g(x) =0 and \lim_{x \to 4} h(x) =-2

We want to find

\lim_{x \to 4} \frac{f}{g}(x)= \lim_{x \to 4} \frac{f(x)}{g(x)}

By the properties of limits, we have;

\lim_{x \to 4} \frac{f}{g}(x)= \frac{\lim_{x \to 4} f(x)}{\lim_{x \to 4} g(x)}

This gives us;

\lim_{x \to 4} \frac{f}{g}(x)= \frac{5}{0}

Division by zero is not possible. Therefore the limit does not exist.

7 0
3 years ago
A is inversely proportional to b. If a=7.2 when b=-4, what will a equal when b=6?
Tpy6a [65]

Answer:

<h2>a = - 4.8</h2>

Step-by-step explanation:

To find the value of a when b=6 we must first find the relationship between them.

The statement

a is inversely proportional to b is written as

a \:  \:  \alpha  \:  \:  \frac{k}{b}

where k is the constant of proportionality

When a = 7.2 , b = -4

So we have

7.2=  \frac{k}{ - 4}

k = 7.2 × - 4

k = - 28.8

So the formula for the variation is

a =  -  \frac{28.8}{b}

When

b = 6

That's

a =  -  \frac{28.8}{6}

We have the final answer as

<h3>a = - 4.8</h3>

Hope this helps you

7 0
3 years ago
One canned juice drink is 20% orange juice; another is 10% orange juice l. How many liters of each should be mixed together in o
Anni [7]

Answer:

There is not enough information to answer, you did not say measurements of both drinks.

Step-by-step explanation:

8 0
2 years ago
PLZ HELP!!!
bagirrra123 [75]
B) because the rate of change is 7, while for A the rate of change is 6 and for C and D the rate of change is 4
5 0
3 years ago
Read 2 more answers
(This photo didnt even get up yet!)
11Alexandr11 [23.1K]

Answer:

15 ways

Step-by-step explanation:

\frac{6!}{4!(6-4)!}=\frac{6!}{4!2!}=15

7 0
2 years ago
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