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anzhelika [568]
3 years ago
8

The composition of a function and its inverse is always __________.

Mathematics
2 answers:
polet [3.4K]3 years ago
6 0

Answer:

Answer:

X

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

Step-by-step explanation:

Nadya [2.5K]3 years ago
4 0

Answer:

X

Step-by-step explanation:

It was corrected on E2020.

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If two sides of adjacent acute angles are perpendicular, then the angles are perpendicular.
Flauer [41]
False, they would be called Complementary
6 0
3 years ago
What is the answer of 3[4(2³)-5²+7(8+4²)-16]?
Montano1993 [528]

<span>3[4(23)-52+7(8+42)-16]</span>

<span>3 x (4 x 8 - 52 + 7 x (8 + 42) - 16)</span>

<span>3 x (32 - 52 + 7 x (8 + 42) - 16)</span>

<span>3 x (16 – 52 + 7 x (8 + 42))</span>

<span>3 x (16 - 25 + 7 x (8 + 42))</span>

<span>3 x (-9 + 7 x (8 + 42))</span>

3 x (-9 +7 x (8 + 16))

3 x (-9 + 7 x 24)

3 x (-9 + 168)

3 x 159

477


8 0
3 years ago
Choose the equation of a circle with radius 6 and center (2, -3).
Rufina [12.5K]

Answer:  (x-2)^2 + (y+3)^2 = 36\\\\

Work Shown:

(x-h)^2 + (y-k)^2 = r^2\\\\(x-2)^2 + (y-(-3))^2 = 6^2\\\\(x-2)^2 + (y+3)^2 = 36\\\\

Note that (h,k) = (2,-3) is the center and r = 6 is the radius. The last line is not expanded out using the FOIL rule because its common practice to leave it in (x-h)^2 + (y-k)^2 = r^2\\\\ form. This form allows the reader to quickly determine the center and radius (rather than have to do a lot of algebraic steps before hand).

3 0
2 years ago
Given f (x) = 6x + 2, find f (x + 3).
Dovator [93]

Answer:

6x+20

c.

Step-by-step explanation:

If f(x)=6x+2 and you are asked to find f(x+3), then you just replace all the x's in f(x)=6x+2 with (x+3).

Doing this gives you:

f(x)=6x+2        with new input (x+3) in place of out input (x)

f(x+3)=6(x+3)+2

f(x+3)=6x+18+2

f(x+3)=6x+20

3 0
4 years ago
28/29 and 30 please short explanation thanks
Bond [772]

Answer 28.

Possible values for the three factors of -3

  1. 1, -1 and 3
  2. -1.5, 1 and 2
  3. 1.5, -1 and 2  
  4. 1.5, 1 and -2

Answer 29.

The product of two nonzero integers will be less than or equal to both of the integers if they are multiplied by number itself and one or by number itself and one with negative sign.

Answer 30.

The sign of the product of three integers with the same sign will be positive or negative. If odd number of same sign is multiplied, the product will be of that sign.

(+)  (+)  (+) = (+)

(-)  (-)  (-) =  (-)

3 0
3 years ago
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