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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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Given the coordinates S(-3,6) and T(4, -8). Find the equation of the line that passes through the two points and write the equat

baherus [9]

Answer:

m=slope

y= intercept

m=y2-y1 /x2-x1 -8 - 6= -14

4- -3 = 7

-14/7 a 2 is your slope

y=2x=b

Now we find for X

choose a y from one of your points : lets use 6 Plug 6 in for y s(-3,6)

y=2x+b

6=2(-3) +b

now solve for b

6= -6 + b

now add 6 to both sides to get b alone

6+6 =6+-6 +b

12=b

now write you equation out y=2x =12

Step-by-step explanation:

hope that helps

8 0

2 years ago

A walking path across a park is represented by the equation y= -3x - 6 . A new path will be built perpendicular to this path. Th

Romashka [77]

Answer:

The equation that represents the new path is y=(1/3)x+4

Step-by-step explanation:

step 1

Find the slope of the give line

we have

y=-3x-6

the slope m is equal to

m=-3

step 2

Find the slope of the perpendicular line to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other

we have

m=-3 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=1/3

step 3

With m=1/3 and the point (-3,3) find the equation of the line

y-y1=m(x-x1)

substitute

y-3=(1/3)(x+3)

y=(1/3)x+1+3

y=(1/3)x+4 -----> equation that represent the new path

8 0

2 years ago

Some1 hurry up i need help

NARA [144]

Answer:

-(-26)

Step-by-step explanation:

8 0

2 years ago

gina pasted 3 stickers in a book. if she added one sticker to her collection every day, what equation represents the relationshi

lukranit [14]

Answer:

The answer to your question is

Number of stickers = number of days + 3

Step-by-step explanation:

- To find the equation of the line that represents the situation, first, find the slope.

Slope = m = $\frac{y2 - y1}{x2 - x1}$

m = $\frac{4 - 3}{1 - 0} = \frac{1}{1} = 1$

- Find the equation of the line

y - y1 = m(x - x1)

y - 4 = 1(x - 1)

y - 4 = x - 1

y = x - 1 + 4

y = x + 3

y = number of stickers

x = days

Number of stickers = number of days + 3

3 0

2 years ago

Fmfrjrjdjejeidisiiiidiidsisiiisi

SVEN [57.7K]

Answer:

The answer is,

$r = \frac{3t}{t - 1}$

Step-by-step explanation:

$t = \frac{r}{ r - 3}$

Firstly, you have to get rid of fraction by multiplying (r-3) to both side and expand out:

t × (r-3) = r/(r-3) × (r-3)

rt - 3t = r

Then you have to move all the "r" variables to one side and other variables to the other side:

rt - r = 3t

You can make "r" as a subject by taking out the common term, you can see that the common term on the left is "r" so you can bring out:

r(t-1) = 3t

r = 3t/(t-1)

4 0

3 years ago