All categories

3 years ago

What is the domain of f(x) = 3x?

Mathematics

2 answers:

Stolb23 [73]3 years ago

5 0

Answer is C.
All real numbers

hope it helps

neonofarm [45]3 years ago

3 0

Answer:

C. All real numbers.

Step-by-step explanation:

We have been given a function $f(x)=3^x$ . We are asked to find the domain of our given function.

We know that domain of a function is all values of x for which a function is real and defined.

We know that the domain of an exponential function is all real values of x that is $(-\infty,\infty)$ .

Since our given function is an exponential function, therefore, domain of our given function is all real numbers.

You might be interested in

How does knowing some constructions help you do other, more complicated constructions

Nana76 [90]

Answer:

the first thing you learned is the base. then you can build off of it. just like math. you learn simple adding then you go onto multiplication and division.

6 0

3 years ago

Read 2 more answers

Pls help with this!! no wrong answers pls

Juliette [100K]

Answer:

x = 40

Step-by-step explanation:

180 = 100 + x +x

180-100= 2x

80 = 2x

x = 40

4 0

3 years ago

Listed below are time intervals (min) between eruptions of a geyser. Assume that the "recent" times are within the past few y

Shalnov [3]

Answer:

p value = 0.039

t = - 2.169

Step-by-step explanation:

Applying the null and alternate hypothesis

$H_{0} : U1 = U2$

$H_{\alpha } : U1 \neq U2$

using excel worksheet to calculate for ( t and p )

t = -2.169

p = 0.039

from the results obtained

The conclusion is affected by the significance level because : 0.1 < p > 0.01

so when the significance level is = 0.1 the Null hypothesis is rejected and we can say the mean time interval will change while

if the significance level = 0.01 the Null hypothesis is accepted and we can not say the mean time interval has changed because the p -value is greater than 0.01

attached is the excel solution

7 0

3 years ago

devin makes a 15% commission each month for everything he sells. if devin sells $2750 of merchandise this month, how much of a c

kakasveta [241]

Answer:

$412.50

Step-by-step explanation:

15% of 2750 = 0.15 × 2750 = 412.5

7 0

3 years ago

The volume (in cubic inches) of a shipping box is modeled by V =2x³ -19x² +39x, where x is the length (in inches). Determine the

yawa3891 [41]

Answer:

The values of x for which the model is 0 ≤ x ≤ 3

Step-by-step explanation:

The given function for the volume of the shipping box is given as follows;

V = 2·x³ - 19·x² + 39·x

The function will make sense when V ≥ 0, which is given as follows

When V = 0, x = 0

Which gives;

0 = 2·x³ - 19·x² + 39·x

0 = 2·x² - 19·x + 39

0 = x² - 9.5·x + 19.5

From an hint obtained by plotting the function, we have;

0 = (x - 3)·(x - 6.5)

We check for the local maximum as follows;

dV/dx = d(2·x³ - 19·x² + 39·x)/dx = 0

6·x² - 38·x + 39 = 0

x² - 19/3·x + 6.5 = 0

x = (19/3 ±√((19/3)² - 4 × 1 × 6.5))/2

∴ x = 1.288, or 5.045

At x = 1.288, we have;

V = 2·1.288³ - 19·1.288² + 39·1.288 ≈ 22.99

V ≈ 22.99 in.³

When x = 5.045, we have;

V = 2·5.045³ - 19·5.045² + 39·5.045≈ -30.023

Therefore;

V > 0 for 0 < x < 3 and V < 0 for 3 < x < 6.5

The values of x for which the model makes sense and V ≥ 0 is 0 ≤ x ≤ 3.

8 0

3 years ago