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2 years ago

For the given functions f and g find f•g and state it’s domain f(x) = 3x - 6; g(x) = 8x +4

Mathematics

1 answer:

o-na [289]2 years ago

6 0

f.g and its domain is 24x²-36x-24; all real numbers.

Given, f(x) = 3x - 6; g(x) = 8x +4.

We need to find the value of f.g

<h3>What is a domain?</h3>

The domain of a function; In mathematics, the domain of a function is the set of inputs accepted by the function.

Now, (f.g)(x)=(3x-6)(8x+4)

=24x²-48x+12x-24

=24x²-36x-24

Therefore, f.g and its domain is 24x²-36x-24; all real numbers.

To learn more about the domain of a function visit:

brainly.com/question/13113489.

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3 years ago

Tristan and Ronna are collecting clothes for a clothing drive. Ronna collected 3 times as many clothes as Tristan did. If Trista

Anni [7]

Ronna collected $12\frac{3}{4}$ bags of clothes

Step-by-step explanation:

Tristan and Ronna are collecting clothes for a clothing drive

Ronna collected 3 times as many clothes as Tristan
Tristan collected $4\frac{1}{4}$ bags

We need to find how many bags of clothes Ronna collected

∵ Ronna collected 3 times as many clothes as Tristan did

- That means Ronna collected 3 × the amount that Tristan did

∵ Tristan collected $4\frac{1}{4}$ bags

- Multiply the amount of Tristan by 3 to find the amount of Ronna

∴ Ronna collected = 3 × $4\frac{1}{4}$

Change the mixed number to improper fraction

∵ $4\frac{1}{4}$ = $\frac{(4*4)+1}{4}=\frac{17}{4}$

∴ Ronna collected = 3 × $\frac{17}{4}$

∴ Ronna collected = $\frac{51}{4}$

Change the improper fraction to mixed number by divide 51 by 4

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Ronna collected $12\frac{3}{4}$ bags of clothes

Learn more:

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