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3 years ago

If f(x) = 3x - 2 and g(x) = 2x + 1, find (f - g)(x)

Mathematics

2 answers:

Alexus [3.1K]3 years ago

8 0

<u>Answer:</u>

( f - g ) ( x ) = x - 3

<u>Step-by-step explanation:</u>

We are to find $( f - g ) ( x )$ given that $f ( x ) = 3 x - 2$ and $g ( x ) = 2 x + 1$ .

So basically we have to subtract the function g from function f.

$( f - g ) ( x ) = f(x) - g(x)$

Substituting the given functions in the above equation to get:

$( f - g ) ( x ) = (3x - 2) - (2 x + 1 )$

$( f - g ) ( x ) = 3x - 2 - 2 x - 1$

$( f - g ) ( x ) = 3x - 2 x - 2 - 1$

$( f - g ) ( x ) = x - 3$

morpeh [17]3 years ago

6 0

Answer:

(f-g)(x) = x-3

Step-by-step explanation:

Given

f(x) = 3x-2

and

g(x) = 2x+1

We have to find (f-g)(x)

So,

(f-g)(x) = f(x)-g(x)

= 3x-2 - (2x+1)

= 3x-2-2x-1

=x-3

Hence,

(f-g)(x) = x-3

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What is the value of the expression 6z2+2z+10 when z=3?

grigory [225]

Hi there! Hope this helps, and if it does, please mark brainliest!

Answer:

346

Step-by-step explanation:

6z2+2z+10

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3 years ago

Y=4(-1)+3<br> Linear Equations

rewona [7]

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2 years ago

Twelve different video games showing drugs were observed. The duration times of drugs were recorded, with the times (seconds)

Studentka2010 [4]

The answers to the questions are:

1. The confidence level is 99 percent.

2. We have to conclude that there is no sufficient evidence available to support this claim because the Confidence interval contains 75 sec.

<h3>How to solve for the confidence level</h3>

1. The confidence level here should be

1- 0.01 = 0.99

= 99 percent

Given that, 99% confidence interval for population mean (μ) is (-34.1 sec u< u < 264.1 ) seconds.

We are to test the claim that the population mean is greater than 75 sec.

The given confidence interval contains the value of 75 sec, so there is not sufficient evidence to support the claim that the mean is greater than 75 sec.

Read more on confidence interval here:

brainly.com/question/20309162

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1 year ago

Community college students conduct a survey at their college. They ask "Do you plan to transfer to a university to pursue a bacc

Tamiku [17]

Answer:

$0.8 - 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.697$

$0.8 + 2.58\sqrt{\frac{0.8(1-0.8)}{100}}=0.903$

The 99% confidence interval would be given by (0.697;0.903)

And the best option is : 0.697 to 0.903

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

For this case the conditions we have the conditions to assume a normal distribution for the population proportion since:

np=100*0.8=80 >10 , n(1-p) = 10*(1-0.8) =20 >10

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by: