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V125BC [204]
2 years ago
8

If f(x) = 1/9x -2, what is f-1(x)

Mathematics
2 answers:
Ray Of Light [21]2 years ago
7 0

Answer:

f^{-1}(x) will be equal to 9y+18

Step-by-step explanation:

We have given f(x)=\frac{1}{9}x-2

Now let f(x)=y

So y=\frac{1}{9}x-2

We have to find f^{-1}(x) , means value of x in terms of y

So y=\frac{1}{9}x-2

y+2=\frac{1}{9}x

x=9y+18

So f^{-1}(x) will be equal to 9y+18

Paraphin [41]2 years ago
4 0
Please, try typing

  -1
f     (x)  to indicate "inverse function."

Type   f(x) = 1/9x -2    as   <span>f(x) = (1/9)x -2

1) replace f(x) with y:          y = </span> (1/9)x -2
2)  Interchange x and y:      x = (1/9)y - 2
3)  Solve for y:                     9x = y - 18, or y = 9x + 18
4)  replace y with 

  -1
f     (x)   

Then

   -1 
f      (x) = 9x + 18   (answer)


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Answer:

3/4

Step-by-step explanation:

Δy = y1 - y2 = 1 - (-2) = 3

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2 years ago
Number six on the page
Mekhanik [1.2K]
A square has the same length on all of it's sides. The area of a square is side times side. So it's 2.2×2.2=?
7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B2%7D%5E%7Bx%20%2B%202%7D%20-%20%20%7B2%7D%5E%7B%20x%20%2B%203%7D%20%7D%7B%2
weeeeeb [17]

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

… = (2¹ - 2²) / (2⁰ - 2¹)

… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

… = 2

Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)

… = (-4<em>y</em>) / (-2<em>y</em>)

… = 2

8 0
3 years ago
Help please asap !! it doesn’t hurt to guess also! Thanks
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Answer:

1. True

2. True

3. True

4. True

5. True

Step-by-step explanation:

I dont know of it is supposed to be true or not lol.

5 0
2 years ago
Read 2 more answers
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