Help please thank you!

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

6 0

Answer:

g(f(x)) = x

Yes, the functions are inverses.

Step-by-step explanation:

Hi there!

We're given:

$f(x) = 8x-7$

$g(x)=\displaystyle\frac{x+7}{8}$

To solve for g(f(x)), plug f(x) into g(x) as x:

$g(f(x))=\displaystyle\frac{(8x-7)+7}{8}\\\\g(f(x))=\displaystyle\frac{8x-7+7}{8}\\\\g(f(x))=\displaystyle\frac{8x}{8}\\\\g(f(x))=x$

Because g(f(x)) = x, the two functions are inverses.

I hope this helps!

You might be interested in

Find the volume...!!

Rudiy27

Answer:

52.8

Step-by-step explanation:

cube volume formula: BH

: 33 x 4.4 = 52.8

7 0

2 years ago

Read 2 more answers

What is the length, in feet, of the hypotenuse of a right triangle with legs that are 3 feet long and 4 feet long? Question 10 o

wel

A^2+b^2=c^2 so 4(4) +3(3) is 16+9= 25 and the square root of that is 5.

7 0

3 years ago

What is -0.18 as a fraction in simplest form.

Radda [10]

The answer is, 9/50
0.18 = 0.18/1
0.18/1 x 100/100 = 18/100
18/100 divided by 2/2 = 9/50
In conclusion the answer is 9/50.
Hopefully that helped! :)

3 0

3 years ago

Several years ago, 50% of parents who had children in grades K-12 were satisfied with the quality of education the students r

galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.