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VMariaS [17]
3 years ago
13

For f(x) = 2x+1 and g(x) = x+14, find (gof)(x).

Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Answer: OPTION B

Step-by-step explanation:

You can observe that the exercise provides you two Linear functions.

The first Linear function is the function f(x). This is:

f(x) = 2x+1

And the other Linear function is the function g(x):

g(x) = x+14

In order to find (gof)(x), you need to follow these steps shown below:

<u>Step 1</u>:

You must substitute the function f(x) into the function g(x); this means that the function f(x) will be in the place of the variable "x" of the function g(x); as you can observe below:

(gof)(x) = (2x+1)+14

<u>Step 2</u>:

Finally you must combine the like terms (You can notice that the like terms are 1 and 14; then you must add them). Therefore, you get that  (gof)(x) is:

(gof)(x) = 2x+1+14\\\\(gof)(x) = 2x+15

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Examine the data below for a stalk of corn. Logarithmic regression Use logarithmic regression to find an equation of the form y
masya89 [10]

The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

<h3>What is logarithmic regression?</h3>

Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.

The data of the table for the day and height of the stalk of corn is listed below.

Day (<em>x</em>)                9    12    22    40    

Height (<em>y</em>) in        5    17    45    60  

Mean of x values,

m_x=\dfrac{9+12+22+40}{4}\\m_x=17.5581

Mean of y values,

m_y=\dfrac{5+17+45+60}{4}\\m_y=31.75

For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,

y = -76.2038+37.6735\ln(x)

Compare it with the following logarithmic regression equation, we get

y = a+b\ln(x)

a=-76.2038\\b=37.6735

Hence, the value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

Learn more about the logarithmic regression here;

brainly.com/question/25226042

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