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3 years ago

. 1 Find f for the function f. f(x) = 3x² + 3, x > 0 And find the domain

Mathematics

1 answer:

konstantin123 [22]3 years ago

8 0

Answer:

y = $\sqrt{\frac{x-3}{3} }$

Domain = [3, infinity)

Step-by-step explanation:

x = 3y^2 + 3

3y^2 = x - 3

y^2 = (x-3)/3

y = $\sqrt{\frac{x-3}{3} }$

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The first term of a linear sequence is 3 and the 18th term is 31. Find the common difference

Vikentia [17]

Answer:

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Step-by-step explanation:

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2 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5

DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

7 0

3 years ago

Plz help I need answer asap

Dimas [21]

Gchdbncxthysshj teethed how

4 0

2 years ago

Is 17/25 in decimal terminate or repeat?

lisov135 [29]

Terminate because 17/25 is the same as 68/100 and that is 0.68. So, it is terminate

5 0

3 years ago

Read 2 more answers

Clare is painting some doors that are all the same size. She used 2 liters of paint to cover

grigory [225]

Answer:

I think it's 1 1/4 liters of paint for one door

Step-by-step explanation:

First you have to turn it to an improper fraction

1.) 1 3/5 = 8/5

Then you have to proportion the fraction with the 2 liters (L=liters)

2.) 2/(8/5)

= 10/8 L

3.) Next you convert the fraction to a mixed number

10/8 L --> 8/8 + 2/8 = 1 1/4 L

3 0

3 years ago