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PilotLPTM [1.2K]
3 years ago
6

For f left parenthesis x right parenthesis equals StartRoot x EndRoot and g left parenthesis x right parenthesis equals 4 x plus

9 comma find the following composite functions and state the domain of each. ​(a) fcircleg ​ (b) gcirclef ​ (c) fcirclef ​ (d) gcircleg
Mathematics
1 answer:
lara31 [8.8K]3 years ago
4 0

Answer:

Step-by-step explanation:

Given that there are two functions f and g as

f(x) = \sqrt{x} \\g(x) =4x+9

We have to find the composition of functions.

Composition functions are calculated as the first function inside bracket and then the outside function of answer inside.

a)fog= f{g(x)} =f(4x+9) = \sqrt{4x+9}

b) gof = g{f(x)} = g(\sqrt{x} )=4\sqrt{x} +9

c) fof = f(\sqrt{x} ) = \sqrt[4]{x}

d) gog = g(4x+9) = 4(4x+9)+9\\= 16x+45

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blondinia [14]

Answer:

4\frac{19}{24}

Step-by-step explanation:

I hope I did this right:

So first thing to do is set up the equation.

K + \frac{1}{3} = 5\frac{1}{8}

Next thing to to is subtract 1/3 from both sides to get:

K = 5\frac{1}{8} - \frac{1}{3}

Next up, you will multiply each of the fractions by the opposing value

(multiply 1/8 by 3 and 1/3 by 8)

K = 5\frac{3}{24}-\frac{8}{24}

Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.

K = \frac{123}{24}-\frac{8}{24}

Finally, you subtract 123 over 24 by 8 over 24.

K = \frac{123}{24} - \frac{8}{24} = \frac{115}{24}

Then just simplfy the 115/24 to get

4\frac{19}{24}

8 0
2 years ago
In the given figure, measure HK= 50° and measure GKL is 50° which statement is true?
Minchanka [31]

Answer: A

Step-by-step explanation:

The answer is a because the measure of angle KGH is 25 degrees since it is an inscribed angle. Angle GKJ is 130 degrees because angle GKL is 50 degrees. Therefore angle J is equal to 25 degrees which makes the triangle an isosceles triangle since angle J and angle KGH are equal to one another.

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Sally went 3.5 miles per hour on a treadmill for 5 hours. She was sore and decided to take 400 mg of Advil. The half portion sta
xenn [34]

Answer:

8 hours

Step-by-step explanation:

it says: The half portion stays in her body for 8 hours.

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Which is the value of g(-5) if g(x) = 3.40 – 8
Mila [183]

Answer:

Step-by-step explanation:

If you have written g(x) correctly then g(-5) = 3.40 - 8 = -4.6

If you meant to write g(x) = 3.40x - 8, then g(-5) = -25

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LekaFEV [45]

Answer:

40 girls

Step-by-step explanation:

if you multiply 5 times 10, then you have to multiply the other side by 10 too. So 5 times 10 equals 50, and 4 times 10 equals 40.

40+50+=90.

4 0
3 years ago
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