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3 years ago

The domain for f(x) and g(x) is the set of all real numbers.

Mathematics

2 answers:

Nina [5.8K]3 years ago

5 0

Answer:

$3x^2 + 8$

Step-by-step explanation:

Given functions,

$f(x) = 3x + 8 ----(1)$

$g(x) = x^2 -----(2)$

Since,

(fog)(x) = f( g(x) ) ( Composition of functions )

$=f(x^2)$ ( From equation (2) )

$=3x^2 + 8$ ( From equation (1) )

Hence,

$(fog)(x)=3x^2 + 8$

Second option is correct.

bija089 [108]3 years ago

3 0

I am currently dong the same thing, if you go to symbolab.com then im pretty sure you'll be helped. ;)

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A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as

mamaluj [8]

Answer:

The farmer have at first 202 chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be $x.$

And, the ducks be $y.$

As, the farmer had twice as many chickens as ducks on his farm.

So, $x=2y$ ......(1)

As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.

According to question:

$x-166=(y-29)\times \frac{1}{2}$

$x-166=\frac{y-29}{2}$

Substituting the value of $x$ from equation (1) we get:

$2y-166=\frac{y-29}{2}$

By cross multiplying we get:

$4y-332=y-29$

Adding both sides 332 we get:

$4y=y+303$

Subtracting both sides by $y$ we get:

$3y=303$

Dividing both sides by 3 we get:

$y=101.$

Now, to get the number of chickens substituting the value of $y$ in equation (1):

$x=2y\\\\x=2\times 101\\\\x=202.$

Therefore, the farmer have at first 202 chickens.

7 0

3 years ago

Simplify 31/2+1/8 I don't know how to do it

storchak [24]

When adding fractions, you want the denominators to be the same number, so you have to multiply 31/2 by four for the numerator and denominator by 4 to have the denominators to both be 8. So the fraction on the left will be 124/8 + 1/8 =129/8. That fraction is in its simplest form.

8 0

3 years ago

Use the figure. What is the measure of angle 2?

zhuklara [117]

Answer:

3x+9

Step-by-step explanation:

i think since it is across from there

3 0

3 years ago

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Graph the line with the equation y=-1/2x-3