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leonid [27]
4 years ago
12

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

Mathematics
2 answers:
Natali [406]4 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]4 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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Write the contrapositive of the conditional statement. If it is January, then there are 31 days this month.
kifflom [539]
If there aren't 31 days this month, then it isn't January. 

Hope this helps!
5 0
4 years ago
Read 2 more answers
Point A, B and C are colinear, and B lies between A and C. If AC= 48, AB= 2x+2 and BC= 3x+6, what is BC?
Degger [83]
First, u have to find x so u set up this equation:
2x+2+3x+6=48
Then solve to get:
5x+8 = 48
5x=40
X=8


Then, u substitute 8 in the expression 3x+6:
3(8) +6
Ur final answer is 30.
6 0
3 years ago
Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in s
vagabundo [1.1K]

Answer:

y = -0.2x - 5.8

Step-by-step explanation:

If a line is given in the form y = mx + b, the "m" is the slope.

For the line given y = 5x, the slope is 5

The line that is perpendicular to this will have slope that is "negative reciprocal of that".

So, the perpendicular line will have slope of  -\frac{1}{5}

So, the Perpendicular Line will have equation:

y = -1/5x + b

Let's find b by replacing x with 6 and y with -7 [the point given]. So we have:

y=-\frac{1}{5}x+b\\-7=-\frac{1}{5}(6)+b\\-7=-\frac{6}{5}+b\\b=-7+\frac{6}{5}\\b=-5.8

So the equation of perpendicular line = y = -0.2x - 5.8

4 0
3 years ago
What is equivalent to the square root of 8?
Pavlova-9 [17]
It would be 2 root 2
bc it simplifies to root 2 and root 4 
root 4 simplifies to 2 
so its 2√2
5 0
4 years ago
(x - 6) (X - 4) =<br> How do I solve this?
Vedmedyk [2.9K]

Answer: x^2 -10x + 24

Step-by-step explanation:

(x-6) (x-4)

= x^2 - 6x - 4x + 24

= x^2 -10x + 24

5 0
3 years ago
Read 2 more answers
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