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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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Logs are stacked 7 rows high. The top row has 15 logs, the second row has 18 logs, and the third row has 21 logs. This pattern c

EastWind [94]

The answer is 168 logs.

1st row: 15 logs
2nd row: 18 logs
3rd row: 21 logs
(so, each row has 3 more logs)
4th row: 24 logs
5th row: 27 logs
6th row: 30 logs
7th row: 33 logs

The sum of logs from each row is: 15 + 18 + 21 + 24 + 27 + 30 + 33 = 168 logs

4 0

3 years ago

Read 2 more answers

What is 1/6 divide by 1/3

Xelga [282]

0.555555556 so that's it hope this helped

4 0

3 years ago

Read 2 more answers

Factor completely

ZanzabumX [31]

Use the (-b + - sqrt( b^2 - 4ac) ) /2a Formula.
a = 1 b= 10 c= 24
so you get .. (x+6 )(x+4) A

4 0

4 years ago

In triangle $ABC,$ point $D$ is on $\overline{AC}$ such that $AD = 3CD = 12$. If $\angle ABC = \angle BDA = 90^\circ$, then what

Neporo4naja [7]

Answer:

$BD=4\sqrt{3}\ units$

Step-by-step explanation:

we know that

$AD=12\ units$

$3CD=12$ ----> $CD=4\ units$

see the attached figure to better understand the problem

Triangles ABD and BCD are similar by AA Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

$\frac{BD}{AD}=\frac{CD}{BD}$

substitute the given values

$\frac{BD}{12}=\frac{4}{BD}$

$BD^2=48$

$BD=\sqrt{48}\ units$

simplify

$BD=4\sqrt{3}\ units$

8 0

3 years ago

HELP PLSSSSS Triangle ABC is an equilateral triangle. The angle bisectors and the perpendicular bisectors meet at D in such a wa

vazorg [7]

CE = CD + DE = 2DE + DE = 3DE = 8.7

DE = 8.7/3 = 2.9
CD = 2DE = 5.8

For the inscribed circle, where center is point D. The radius is length DE.
This is because the circle will touch the 3 points where the bisectors intersect with sides of triangle.
radius = 2.9

For circumscribed circle, the center will also be point D. The radius is CD.
The circle will touch 3 points of triangle, A,B,C.
radius = 5.8

6 0

3 years ago