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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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What is the range of 8,4,9,2,3

oee [108]

The range is 7. Here's how i found it. First i ordered it from least to greatest. Like this:
2,3,4,8,9
Then i subtract the lowest number from the highest number:
9-2=7
So the answer is 7. I hope i helped!

7 0

4 years ago

Read 2 more answers

A lawn-mowing company is trying to grow its business. It had 26 clients when they started its business and wants to increase by

SCORPION-xisa [38]

Answer:

f(x) = 3x + 26; 26 ≤ y ≤ 35

Step-by-step explanation:

This makes a linear equation.

y=mx+b

where m is the amount they want to increase each week

and b is the initial value i.e 26 clients.

Now substitute the values in the equation.

Let x=0

y=3(0)+26

y = 26

Now let x= 3

y=mx+b

y=3(3)+26

y=9+26

y=35

Thus the correct option is B.

f(x) = 3x + 26; 26 ≤ y ≤ 35 .....

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4 years ago

Read 2 more answers

A centimeter is equal to <img src="https://tex.z-dn.net/?f=1%2F10" id="TexFormula1" title="1/10" alt="1/10" align="absmiddle" cl

victus00 [196]

Answer:

20 cm

because

1 cm = 0.1 dm

so 1 dm = 10 cm

then:

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3 years ago

The Fall Festival charges $0.75 per ticket for the rides. Kendall bought 18 tickets for rides and spent a total of $33.50 at the

PIT_PIT [208]

Part (a)

The variable y is the dependent variable and the variable x is the independent variable.

Part (b)

The cost of one ticket is $0.75. Therefore, the cost of 18 tickets will be:

$0.75\times 18=13.5$ dollars

Now, we know that Kendall spent her money only on ride tickets and fair admission and that she spent a total of $33.50.

Therefore, the price of the fair admission is: $33.50-$13.50=$20

If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be written as:

$y=0.75x+20$ ......Equation 1

Part (c)

The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 0.75x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$20.

Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.

4 0

3 years ago

Solve for x 4^x/9^x=½

kirill115 [55]

Answer:

x = 0.85476

Step-by-step explanation:

4ˣ/9ˣ=½

9ˣ / 4ˣ = 2

(9/4)ˣ = 2

2.25ˣ = 2 .... aⁿ = x logₐx = n

log₂.₂₅2 = x

x = 0.85476

3 0

3 years ago