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3 years ago

If f(x) = x and g(x) = 2x + 7, what isf[90X)] when g(x) = 11?

1 answer:

8 0

$\bf \begin{cases} f(x) = x\\ g(x) = 2x+7 \end{cases}~\hspace{7em}g(x)=11\implies \stackrel{g(x)}{11}=2x+7 \\\\\\ 4=2x\implies \cfrac{4}{2}=x\implies \implies \boxed{2=x} \\\\[-0.35em] ~\dotfill\\\\ f[90x]\implies f\left[90\left( \boxed{2} \right)\right]\implies f(180)=\stackrel{x}{180}$

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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

3 years ago

Read 2 more answers

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ludmilkaskok [199]

Answer:

A shirt cost £5 while the hat cost £2.

Step-by-step explanation:

What I did was guess and check until i found the amount of each item. You can also use a table to this.

6 0

3 years ago

Solve for x<br> pls show work<br> 1/2x + 4 = 1/8x + 88

SVETLANKA909090 [29]

Answer:

224

Step-by-step explanation:

1/2x+4=1/8x+88

1/2x-1/8x+4=88

1/2x-1/8x=88-4

4/8x-1/8x=84

3/8x=84

x=84/(3/8)

x=(84/1)(8/3)

x=672/3

x=224

Please mark me as Brainliest if you're satisfied with the answer.

3 0

2 years ago

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points. Rachel scored 78 p

Artemon [7]

Answer:

Keenan's z-score was of 0.61.

Rachel's z-score was of 0.81.

Step-by-step explanation:

Z-score:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Keenan scored 80 points on an exam that had a mean score of 77 points and a standard deviation of 4.9 points.

This means that $X = 80, \mu = 77, \sigma = 4.9$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{80 - 77}{4.9}$

$Z = 0.61$

Keenan's z-score was of 0.61.

Rachel scored 78 points on an exam that had a mean score of 75 points and a standard deviation of 3.7 points.

This means that $X = 78, \mu = 75, \sigma = 3.7$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{75 - 78}{3.7}$

$Z = 0.81$

Rachel's z-score was of 0.81.

6 0

2 years ago

What is the mean of the values in the dot plot?

sergij07 [2.7K]

First, write out all the values:
40,41,41,45,48,48,49,49,49,50

Then to find the mean, you add all the values and divide by the number of values (there are 10 values)
(40+41+41+45+48+48+49+49+49+50)/10
460/10
=46

Hope this helps

3 0

3 years ago

If f(x) = x and g(x) = 2x + 7, what isf[90X)] when g(x) = 11?​

If f(x) = x and g(x) = 2x + 7, what isf[90X)] when g(x) = 11?