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3 years ago

The composition of a function and its inverse is always the answer is 'x'

Mathematics

2 answers:

Natali [406]3 years ago

7 0

This is a true statement. An inverse function for a function f is an function such that it undoes the results of f.

Dennis_Churaev [7]3 years ago

5 0

Answer:

The given statement is true.

Step-by-step explanation:

An inverse function can be defined as a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i.e., f(x) = y if and only if g(y) = x.

Examples are x+2 and x-2

WE get f(x) = x+2

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

=x+2-2=x

Thus by applying composiiton g f or fg in any order we get the answer as x

THis is the property of any inverse function

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Add the product of 2 and 5 to the product of 9 and 8

Lerok [7]

Answer:

Step-by-step explanation:

2*5 + 9*8 = 10 + 72 = 82

4 0

3 years ago

Read 2 more answers

Solve for q. a=qb+r What is q equal to? q=a−r−b q=a−r/b q=a/b −r q=a/rb

Mademuasel [1]

The given equation is $a=qb+r$

We need to solve the equation for q.

Value of q:

The value of q can be determined by solving the equation $a=qb+r$ for q.

Thus, subtracting both sides of the equation by r, we get;

$a-r=qb$

Now, dividing both sides of the equation by b, we have;

$\frac{a-r}{b}=\frac{qb}{b}$

Simplifying the terms, we get;

$\frac{a-r}{b}=q$

Therefore, the value of q is $q=\frac{a-r}{b}$

Hence, Option B is the correct answer.

7 0

3 years ago

If a number is an element of the set of real

kvasek [131]

Answer:

Option (A)

Step-by-step explanation:

A set of real numbers is a combination of both rational and irrational numbers.

But the elements in the sets of rational and irrational numbers will be different.

In short, rational and irrational number sets are the two subsets of real numbers.

Hence, the number is an element of either the set of rational numbers or the set of irrational numbers.

Option (A) is the correct option.

3 0

3 years ago

HELP PLEASE!!! WILL MARK BRAINLIEST!!!

DiKsa [7]

Answer:

see explanation

Step-by-step explanation:

(a)

0 < 5 ⇒ f(0) = x + 4 = 0 + 4 = 4

f(0) = 4

(b)

5 ≤ 6 < 7 ⇒ f(6) = 8

7 0

3 years ago

One long-distance company offers a plan such that each minute costs $0.10 and each call has a $0.25 service

gladu [14]

Answer:

y=0.10(t)+0.25

27 minutes and 30 seconds

Step-by-step explanation:

We know that you start with 25 cents as a service fee, this is for making the call. For each minute you talk, 10 cents are added. Multiply the number of minutes spent by 10 cents a minute for the cost based on the call. Then add the 25 cents service fee.

If you talked for 5 minutes:

y=0.10(5)+0.25

y=0.50+0.25

y=0.75

75 Cents

For three dollars, you would plug in 3 for y

3.00=0.10(t)+0.25

-0.25 -0.25

2.75=0.10(t)

divide both sides by 0.10 to get

27.5=t

You can talk for 27 minutes and 30 seconds

27 minutes

Hope this helps :-)

3 0

3 years ago