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Paul [167]
2 years ago
15

Find f(g(x)) for the functions f(x)=5sqrt(x+1)-2 and g(x)=x^2-1

Mathematics
1 answer:
aivan3 [116]2 years ago
5 0

The value of the composite function f(g(x)) is 5x + 2

<h3>Composite functions</h3>

Composite functions are functions inside another function. Given the following functions:

f(x) = 5√x+1 - 2

g(x) = x² - 1

Determine the composite function f(g(x))

f(g(x)) = f(x² - 1)

f(x² - 1) = 5√x² - 1+1 - 2

f(x² - 1) = 5√x² + 2

f(x² - 1) = 5x + 2

Hence the value of the composite function f(g(x)) is 5x + 2

Learn more on composite function here: brainly.com/question/13502804

#SPJ1

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Multiply 2 and 3 also multiply 4 and 5 and then divide the products together like so 2x3 divided by 4x5   so 6 divided by 20
4 0
3 years ago
Which technique for gathering data (observational study or experiment) do you think was used in the following studies?(a) The Co
miv72 [106K]

Answer:

For question a, the correct option is: This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.

For question b, the correct option is: This is an experiment because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.

For question c, the correct option is: This is an experiment because a treatment was deliberately imposed on the individuals in order to observe a possible change in the response or variable being measured.

For question d, the correct option is: This is an observational study because observations and measurements of individuals are conducted in a way that doesn't change the response or the variable being measured.

Step-by-step explanation: To give us a background on why the options above were chosen, let us see the difference between Observational study and Experimental study.

In an observational study, the researcher draws inferences from an independent variable that is not under his/her control. While in an experimental study, there in an intervention and the effects of the intervention are studied.

Therefore, in the questions a to d above, all we need to do is identity which variables were influenced and which were merely observed.

For question a, the variables were only observed.

For question b, the variables were influenced.

For question c, the variables were also influenced.

For question d, the variables were merely observed.

6 0
3 years ago
Rewrite the following equation in exponential form.<br> log 49(7) = 1/2
asambeis [7]
It would be log7squared(7)
4 0
3 years ago
Solve for x. Round your answer to the nearest thousandth.
pogonyaev

Answer:

7.08

Choice A

Step-by-step explanation:

From the right-angled triangle we have been given the following;

One angle - 33 degrees

The hypotenuse - 13 units

We are required to determine the length of the side, opposite the angle, marked x.

Using the Mnemonic; SOHCAHTOA

The sine of an angle is; (opposite side)/(hypotenuse)

Therefore;

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7 0
3 years ago
Please help I will give brainliest for honest answers
Vaselesa [24]

Answer:

$408

Step-by-step explanation:

subtract 30 from 540 to get 510

then divide 510 by 5 or divide 510 by 100 then multiply by 20

----------------------------------------------------------------------------------------------------------------

510 divided by 5 is 102

or

510 divided by 100 is 5.1 which then you multiply by 20 to get 102

----------------------------------------------------------------------------------------------------------------

102 is equal to 20% of 510 so you subtract 510 by 102 to get 408

3 0
2 years ago
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