All categories

3 years ago

Find the domain of h(x)=x/x^2-x-6

Mathematics

2 answers:

frozen [14]3 years ago

7 0

Set the denominator equal to 0 and solve for x.

x^2 - x - 6 = 0

Factor.

(x - 3)(x + 2 ) = 0

Set each factor to 0 and solve for x.

x - 3 = 0

x = 3

x + 2 = 0

x = -2

The domain is ALL REAL NUMBERS except that x CANNOT equal 3 or -2.

Fynjy0 [20]3 years ago

3 0

Answer:

∈

−

{

−

}

Explanation:

(

)

−

is defined for all Real values of

except those values for which

−

(

)

(

−

)

So if

−

XXXX

−

and

XXXX

(

)

is undefined

You might be interested in

Am I dealing with harmonic stuff (trig)?

pochemuha

You just need to solve for when $y=0$ :

$\dfrac{\cos8t-9\sin8t}4=0\implies\cos8t-9\sin8t=0$

$\implies\cos8t=9\sin8t$

$\implies\dfrac19=\dfrac{\sin8t}{\cos8t}=\tan8t$

$\implies8t=\tan^{-1}\dfrac19+n\pi$

$\implies t=\dfrac18\tan^{-1}\dfrac19+\dfrac{n\pi}8$

where $n$ is any integer. We only care about when $0\le t\le1$ , which happens for $n\in\{0,1,2\}$ .

$t=\dfrac18\tan^{-1}\dfrac19\approx0.01$

$t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi8\approx0.41$

$t=\dfrac18\tan^{-1}\dfrac19+\dfrac\pi4\approx0.80$

8 0

3 years ago

After Mike made deposits of $32.88 and $422.73 and wrote checks for $350.00, $126.13, and $41.09, he had $249.81 in his checking

irina1246 [14]

Answer:

$311.42

Step-by-step explanation:

assuming he would have $0.00 dollars left over after the checks. add the checks together then add the deposits together then subtract.

767.03 - 455.61 = 311.42

8 0

3 years ago

Jason invests $1000 at a bank that offers 3% compounded annually. Write an equation to model the growth of the investment

MissTica

Y=1000*1.03^x is the correct compound recursive formula!

3 0

3 years ago

How would you solve this

Step2247 [10]

Step-by-step explanation:

to solve you just add the length of each line segment. In this problem 1.7+3.2=4.9

6 0

3 years ago

A large diamond with a mass of 481.3 grams was recently discovered in a mine. If the density of the diamond is 3.51 , what is th

sineoko [7]

Answer:

137.12

Step-by-step explanation:

Density = mass/volume

Density = 3.51

Mass = 481.3

Thus: 481.3/3.51 = 137.122507123

6 0

3 years ago

Read 2 more answers

Find the domain of h(x)=x/x^2-x-6​

Find the domain of h(x)=x/x^2-x-6