All categories

3 years ago

Verify that f and g are inverses functions using composition , show your steps

Mathematics

1 answer:

pshichka [43]3 years ago

5 0

Answer:

See explanations below

Step-by-step explanation:

Given the functions

f(x) = 12x - 12

g(x) = x/12 - 1

To show they are inverses, we, must show that f(g(x)) = g(f(x))

f(g(x)) = f(x/12 - 1)

Replace x with x/12 - 1 into f(x)

f(g(x)) =12((x-12)/12) - 11

f(g(x)) = x-1 - 1

f(g(x)) =x - 2

Similarly for g(f(x))

g(f(x)) = g(12x-12)

g(f(x)) =(12x-12)/12 - 1

12(x-1)/12 - 1

x-1 - 1

x - 2

Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other

You might be interested in

What type of reasoning starts with a given set of rules and conditions to determine what must be true?

Firlakuza [10]

<h2>Answer:</h2>

The type of reasoning which starts with a given set of rules and conditions to determine what must be true is:

Deductive Reasoning.

<h2>Step-by-step explanation:</h2>

Deductive Reasoning--

It is a logical reasoning that starts with a general set of premises or statements and reach to a specific conclusion.

It is different from the inductive reasoning in the way that the inductive reasoning starts with a set of specific set of rules and reach to a general conclusion.

4 0

3 years ago

Read 2 more answers

Will give brainliest !! Helpppp please!

Drupady [299]

The answer is A your answer

6 0

3 years ago

The number of free song downloads is determined using a ratio when you purchase 40 songs you get 24 free song downloads how many

natka813 [3]

34 because 24 is 6x4 and 40 is 6.5 but you obviously round up so 7x6 so18 free songs is is 6x3 you just take away 6 to your number so 40-6+=34 so 34

3 0

3 years ago

A pizza chain plans to locate a new pizza franchise on the CCSU campus if the results of a survey show that more than 10% of CCS

kari74 [83]

Answer:

a) Null and alternative hypothesis:

$H_0: \pi=0.1\\\\H_a:\pi>0.1$

b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.

c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.

d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%

e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.

Step-by-step explanation:

a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.

Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.

On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.

This can be written as:

$H_0: \pi=0.1\\\\H_a:\pi>0.1$

7 0

3 years ago

Which quantity is proportional to 12⁄15?

Nezavi [6.7K]

0.8 try that

Step-by-step explanation:

I think thats right

3 0

3 years ago