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kirza4 [7]
3 years ago
7

Show that f(x)=πx-2 and f-1(x)=(x+2/π) are inverse functions of one another

Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0
They are not inverse functions of one another. For f(x) and g(x) to be inverses of each other, f(g(x)) = x. In this case, pi(x+2/pi)-2 = pi* x, which is not x.
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Solve for x. <br><br> x + 3x + 5 =21
timurjin [86]

Answer:

x=4

Step-by-step explanation:

In order to solve for x, we must isolate x on one side of the equation.

x+3x+5=21

First, combine like terms. x and 3x are both terms with variables, and can be combined.

(x+3x) + 5=21

4x + 5=21

5 is being added to 4x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.

4x+5-5= 21-5

4x= 16

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

4x/4=16/4

x= 16/4

x=4

Let's check our solution. Plug 4 in for x and solve.

x+3x+5=21

4+3(4)+5=21

4+12+5=21

16+5=21

21=21

This solution checks out, so we know our answer is correct.

x is equal to 4, x=4.

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scoundrel [369]

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Find the exact circumference of a circle with the given radius. 5 inches C = 2.5π in. 10π in. 25π in.
docker41 [41]
The circumference, C, of a given circle may be calculated through the equation,
         
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where r is the radius. 

Substituting the known values from the given in this item,
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Thus, the answer is this item is the second choice. 
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3 years ago
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