All categories

2 years ago

Find the domain of f/g f(x)= sqrt 4-x^2 g(x)= sqrt 3x+4

Mathematics

1 answer:

kifflom [539]2 years ago

5 0

Answer:

(-4/3, 2]

Step-by-step explanation:

f(x)= sqrt (4-x^2)

g(x) = sqrt (3x+4)

domain of f(x)/ g(x)

The domain of the numerator is

4-x^2 ≥ 0

4 ≥x^2

Taking the square root of each side

-2 ≤x≤2

The domain of the denominator

3x+4 > 0 ( the denominator cannot be zero)

3x>-4

x > -4/3

Combine the restrictions to make it most restrictive

-4/3<x≤2

In interval notation

(-4/3, 2]

You might be interested in

The graph of a proportional relationship passes through (4, 32) and (1, y). Find y.

Margaret [11]

Answer:

Step-by-step explanation:

7 0

2 years ago

Please help [99 points]

Luda [366]

The graph shows a nonlinear function. This is because the line is not straight. I hope this helps :) <span />

5 0

2 years ago

Read 2 more answers

If Sean earns 8.50 per hour and made a total of 80.75 today,how many hours did he work?

gizmo_the_mogwai [7]

9 hours and 30 minutes

6 0

2 years ago

Read 2 more answers

Tripp and Rico are two dogs. Tripp weighs exactly 35 pounds more than Rico. Together, they weigh exactly 49 pounds. How much doe

babymother [125]

Call the weights of the two dogs $t$ and $r$ .

We know that Tripp weights 35lbs more than Rico, or:
$t=r+35$

We also know that the total weight of both dogs is 49lbs.:
$t+r=49$

Now, by substitution:
$(r+35)+r=49$
$2r+35=49$
$2r+35-35=49-35$
$2r=14$
$r=\frac{14}{2}$
$r=7$
Rico weighs 7lbs.

Then:
$t=r+35$
$t=7+35$
$t=42$
Tripp weighs 42lbs.

To check our work:
$t+r=49$
$42+7=49$
$49=49$ CHECK!