The domain for f(x) is all real numbers greater than or equal to ___ ?

Mathematics

2 answers:

Shkiper50 [21]3 years ago

7 0

You must set each part of the function equal to zero.

5√(x+2) = x is greater than or equal to -2

So the domain is greater than or equal to -2

g100num [7]3 years ago

7 0

Answer:

The domain of f(x) is all real numbers greater than or equal to -2

Step-by-step explanation:

We have been given that

$f(x)=2(x)^2+5\sqrt{x+2}$

Domain is the set of x values for which the function is defined.

The given function is the combination of a square and square root function.

Square function is defined for all real values. Whereas, the square root function is defined for only positive values.

Therefore, the function is defined when

$x + 2\geq0$

Subtract 2 to both sides

$x\geq-2$

Hence, the domain of f(x) is all real numbers greater than or equal to -2

You might be interested in

Use Gauss's approach to find the following sums (do not use formulas). 1+3+5+7+...999

muminat

$S=1+3+5+\cdots+995+997+999$
$S=999+997+995+\cdots+5+3+1$
$\implies 2S=(1+999)+(3+997)+(5+995)+\cdots+(995+5)+(997+3)+(999+1)$

$2S=\underbrace{1000+1000+\cdots+1000+1000}_{500\text{ times}}$

(We are adding 500 instances of 1000 because that's how many odd numbers there are between 1 and 1000, inclusive.)

$2S=500\times1000=500000$
$\implies S=250000$

4 0

3 years ago

What is the value of the six in 106,534

aleksley [76]

6,000 because its in the thousandth and so since its a six in the thousandths its 6,000 remember the comma

8 0

3 years ago

Which of the following expressions are equivalent to 16/5? Choose all answers that apply:

In-s [12.5K]

None of the above because it will be 3.2 or -3.2

4 0

3 years ago