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3 years ago

Verify inverse functions

Mathematics

1 answer:

ziro4ka [17]3 years ago

4 0

Answer:

Step-by-step explanation:

Hello

(fog)(x)=f(g(x))=10(x-6)/10+6=x-6+6=x

(gof)(x)=(10x-6+6)/10=10x/10=x

So YES the functions are inverse

hope this helps

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2 years ago

Mr. Turney wrote the value statement "x = 2" on the whiteboard. He asked his students to create an equation or inequality with t

boyakko [2]

Answer:

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

Step-by-step explanation:

Given - Mr. Turney wrote the value statement "x = 2" on the whiteboard.

To find - He asked his students to create an equation or inequality with

this value as a solution.

Proof -

Given that, The value statement is ''x = 2''

We have to find out that equation in such a way that if we solve the equation , we get the value x = 2

There can be infinite many equation that give the value statement '' x = 2''

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

And many more.

Verification -

1. 2x = 4

⇒x = $\frac{4}{2}$

⇒x = 2

Verified

2. 3x + 9 = 15

⇒3x = 15 - 9

⇒3x = 6

⇒x = $\frac{6}{3}$

⇒x = 2

Verified

3. x + 5 = 7

⇒x = 7 - 5

⇒x = 2

Verified

4. 5x - 2 = 8

⇒5x = 8 + 2

⇒5x = 10

⇒x = $\frac{10}{5}$

⇒x = 2

Verified

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3 years ago

Enter the explicit rule for the geometric sequence.<br><br> 9,6,4,83,…

soldier1979 [14.2K]

Answer:

a_n = 2^(n - 1) 3^(3 - n)

Step-by-step explanation:

9,6,4,8/3,…

a1 = 3^2

a2 = 3 * 2

a3 = 2^2

As we can see, the 3 ^x is decreasing and the 2^ y is increasing

We need to play with the exponent in terms of n

Lets look at the exponent for the base of 2

a1 = 3^2 2^0

a2 = 3^1 2^1

a3 = 3^ 0 2^2

an = 3^ 2^(n-1)

I picked n-1 because that is where it starts 0

n = 1 (1-1) =0

n=2 (2-1) =1

n=3 (3-1) =2

Now we need to figure out the exponent for the 3 base

I will pick (3-n)

n =1 (3-1) =2

n =2 (3-2) =1

n=3 (3-3) =0

8 0

4 years ago