All categories

2 years ago

Is the domain of F(x)= 2 + 3^x all real numbers.....or all real numbers >0?

Mathematics

2 answers:

disa [49]2 years ago

8 0

The domain of 3^x is real and greater than zero for all real values of x.
Therefore dom F(x)=2+3^x is all real and greater than zero.
See graph of F(x) attached.

sasho [114]2 years ago

7 0

Focus on y=3^x first. The domain of this function includes all real numbers, positive, zero or negative. When complex numbers are considered, the domain includes complex numbers in additionl to all real numbers.

Thus, the domain of <span>F(x)= 2 + 3^x consists of all real numbers. Certainly F(x) is defined for negative x values.</span>

You might be interested in

A bicycle is on sale at a 15% discount. The sale price is $680. What was the original price?

Nostrana [21]

Answer:

$800 is the original price

Step-by-step explanation:

15% discount

if 85% = $680

100% =?

100/85 * $680

=$800

5 0

2 years ago

Read 2 more answers

A certain compound has a half-life of four days. Write and use an exponential decay function to find the amount of compound rema

dimaraw [331]

Answer:

1.97 ounces

Step-by-step explanation:

-The exponential decay function is given by the formula:

$P_t=P_oe^{-rt}\\\\$

Given that the half-life is 4 days, we can substitute in the formula to solve the rate of decay for a single half-life:

$P_t=P_oe^{rt}\\\\P_t=0.5P_o\\\\\therefore 0.5=e^{-4r}\\\\-4r=In(0.5)\\\\r=0.17329$

#Since, 1 week has 7 days, 3 weeks is a 21-day period, thus, t=21.

#We substitute and solve for the amount remaining after 21days of decay:

$P_t=P_oe^{-rt}\\\\=75e^{-21\times 0.17329}\\\\=1.97072\\\\\approx1.97 \ oz$

Hence, the amount remaining after 3 weeks of decays is approximately 1.97 ounces

4 0

3 years ago

There are 50 pennies in a roll. If you have 150 rolls of pennies, how many pennies do you have?

Y_Kistochka [10]

Answer: 7500

Step-by-step explanation:

multiply 150 by 50

8 0

2 years ago

In the diagram below, ΔPQR ≅ ΔSTR. Complete the statement ∠PRQ ≅ ___ A. ∠SRT B. ∠RST C. ∠STR D. ∠T

Oduvanchick [21]

The complete statement is ∠PRQ ≅ <u>∠SRT</u>. The correction option is A. ∠SRT

<h3>Similar triangles </h3>

From the question, we are to complete the given statement

From the given information,

We have that ΔPQR ≅ ΔSTR

This means ΔPQR is congruent to ΔSTR

Then,

∠PQR ≅ ∠STR

∠PRQ ≅ ∠SRT

∠QPR ≅ ∠TSR

Hence, the complete statement is ∠PRQ ≅ <u>∠SRT</u>. The correction option is A. ∠SRT

Learn more on Congruent Triangles here: brainly.com/question/28032367

#SPJ1

4 0

1 year ago

Which expression is the result of factoring the expression below by taking out its greatest common factor?

Nat2105 [25]

Answer:

c is the correct answer

8 0

3 years ago