All categories

2 years ago

What is the domain of the function f(x) = + 5?

Mathematics

2 answers:

nlexa [21]2 years ago

6 0

Answer:

Step-by-step explanation:

Greeley [361]2 years ago

3 0

Answer:

The domain of the function is:

$\mathrm{Domain\:of\:}\:\sqrt{x+5}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-5\:\\ \:\mathrm{Interval\:Notation:}&\:[-5,\:\infty \:)\end{bmatrix}$

Step-by-step explanation:

Given the function

$f\left(x\right)\:=\sqrt{x+5}$

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

From the function, it is clear that for the values x<-5, the function becomes undefined.

For example, for x=-6

√x+5 = √-6+5 = √-1 which is undefined

and for x=-5

√x+5 = √5+5 = √0 which is defined

Thus, the domain of the function is:

$\mathrm{Domain\:of\:}\:\sqrt{x+5}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-5\:\\ \:\mathrm{Interval\:Notation:}&\:[-5,\:\infty \:)\end{bmatrix}$

You might be interested in

The value of t can be determined by using the expression 2.75s. Which table represents the relationship between the values of t

ad-work [718]

This isn't a table, but you can easily make it into one.

s t
-2 -5.5
-1 -2.75
0 0
1 2.75
2 5.5

6 0

3 years ago

Read 2 more answers

Applying Properties of Exponents In Exercise, use the properties of exponents to simplify the expression.

NemiM [27]

Answer: (a) $e^3$

(b) $e^{10}$

(c) $\dfrac{1}{e^4}$

(d) $e^{4}$

Step-by-step explanation:

Properties of exponents :

1) $a^m\times a^n=a^{m+n}$

2) $\dfrac{a^m}{a^n}=a^{m-n}$

3) $(a^m)^n=a^{mn}$

4) $a^{-n}=\dfrac{1}{a^n}$

Now , we simplify the given expression using the above properties.

a) $(e^6)(e^{-3})$

$=e^{6+(-3)}$ [By property (1)]

$=e^{6-3}=e^3$ [∵ (+)(-)=(-)]

b) $(e^{-2})^{-5}$

$=e^{-2\times-5}$ [By property (3)]

$=e^{10}$ [∵ (-)(-)=(+)]

c) $(\dfrac{e^6}{e^2})^{-1}$

$=(e^{6-2})^{-1}$ [By property (2)]

$=(e^{4})^{-1}$

$=\dfrac{1}{e^4}$ [By property (4)]

d) $(e^3)^{\frac{4}{3}}$

$=e^{3\times\frac{4}{3}}$ [By property (3)]

$=e^{4}$

7 0

3 years ago

Which Is greater the square root of 94 or 10

Helen [10]

I believe the square root of 94 is greater than 10.

Hope helps-Aparri

8 0

3 years ago

Which is NOT one of the 2

NeTakaya

Answer:

Answer is C

Plotted points connected by a line or not has something to do with causation or whatever

8 0

3 years ago

Artie needs to save $450 to buy the new bicycle that he wants. He currently has $300. What percent of the cost of a new bicycle

lora16 [44]

"<span>Artie needs to save $450 to buy the new bicycle that he wants. He currently has $300. What percent of the cost of a new bicycle has he saved?"

Write and solve an equation of ratios (proportions)"

$300 x
--------- = ------- which results in x = 300/450 = 0.667 (approx.) or 20/3.
$450 1

and this works out to 67% (answer)</span>

7 0

3 years ago