The Pennington and Williams family each went on road trips this summer. Their mileage is shown in the graph

If f(x)=3x and g(x)=2x what is (gof)(x)?

Artyom0805 [142]

Answer:

Given f(x) and g(x), please find (fog)(X) and (gof)(x) f(x) = 2x g(x) = x+3

Given f(x) and g(x), please find (fog)(X) and (gof)(x)

f(x) = 2x g(x) = x+3

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Quick Answer

(fog)(x) = 2x + 6

(gof)(x) = 2x + 3

Expert Answers

HALA718 eNotes educator| CERTIFIED EDUCATOR

f(x) = 2x

g(x) = x + 3

First let us find (fog)(x)

(fog)(x) = f(g(x)

= f(x+3)

= 2(x+3)

= 2x + 6

==> (fog)(x) = 2x + 6

Now let us find (gof)(x):

(gof)(x) = g(f(x)

= g(2x)

= 2x + 3

==> (gof)(x) = 2x + 3

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

What is the value of this expression 1/3-5

gregori [183]

The answer is 243 for the question above

5 0

2 years ago

Read 2 more answers

Calculating the degrees of freedom, the sample variance, and the estimated standard error for evaluations using the t statistic

Yuliya22 [10]

Answer:

a) For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

$df = n-1= 10-1=9$

d.9

b) $s^2 = \frac{SS}{n-1}= \frac{600}{41-1}= 15$

a.15

c) For this case we have the sample size n = 25 and the sample variance is $s^2 =400$ , the standard error can founded with this formula:

$SE = \frac{s^2}{\sqrt{n}}= \frac{400}{\sqrt{25}}= 80$

Step-by-step explanation:

Part a

For the first part we have a sample of n =10 and we want to find the degrees of freedom, and we can use the following formula:

$df = n-1= 10-1=9$

d.9

Part b

From a sample we know that n=41 and SS= 600, where SS represent the sum of quares given by:

$SS = \sum_{i=1}^n (X_i -\bar X)^2$

And the sample variance for this case can be calculated from this formula:

$s^2 = \frac{SS}{n-1}= \frac{600}{41-1}= 15$

a.15

Part c

For this case we have the sample size n = 25 and the sample variance is $s^2 =400$ , the standard error can founded with this formula:

$SE = \frac{s^2}{\sqrt{n}}= \frac{400}{\sqrt{25}}= 80$

8 0

2 years ago

Approximately how many inches are in 2500 millimeters? Given 1 in = 2.54 cm, 1 ft = .3048 m, 1 mi = 1.61 km.

love history [14]

Let's begin with 2500 mm and convert this to cm.

2500 mm = 250 cm

Next, convert 250 cm to inches. Recall that 1 inch = 2.54 cm.

Then (250 cm)(1 inch) / (2.54 cm) = (250 cm) (1 in)/ (2.54 cm)

= (250/2.54) inches = ? inches

7 0

3 years ago

Use the vertical line test to determine whether or not the graph is a graph of a function.

BartSMP [9]

Answer:

1. yes

2.no

Step-by-step explanation:

I hope this helped

3 0

3 years ago