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jeka57 [31]
3 years ago
6

Find inverse of f(x) = 2 + 3x / x - 2

Mathematics
1 answer:
NeX [460]3 years ago
7 0
Okay so, we switch out f(x) with y - I’m sure you know this and we get y=2+3x/x-2.

Now just interchange x and y -> x=2+3y/y-2, now multiply both sides with (y-2), we get (y-2)x=2+3y.

Multiply x with the brackets, getting xy-2x=2+3y. Move 3y to the left changing it’s sign, also for -2x to the right: xy-3y=2+2x.

Factor out y from (xy-3y) and get (3-x)y=2+2x - now divide both sides by (3-x) resulting in y=2+2x/3-x .
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Solve the following quadratic equation by the square root method. (Y-9)^2=64
enot [183]

Hello!

To solve this, first perform the opposite operation for the last operation (on the left side) on both sides. The last operation of the left side is squaring. Therefore, square root both sides.

(y - 9)^{2}  = 64

y - 9 = ±\sqrt{64}

y - 9 = ±8

Please note that you must include ±. This is because the square root of 64 can be either positive or negative, as a square of either a positive or negative number is positive.

Now, add 9 to both sides.

y  = 9±8

There are 2 solutions from here. One comes from adding 8, and the other subtracting 8. Therefore, the two solutions are:

y = 9 + 8 = 17

y = 9 - 8 = 1

Therefore, your two solutions are 17 and 1.

Hope this helps!

8 0
3 years ago
Please Help 7th grade math
Allisa [31]

The signs of the numbers in the problem matter because if a number is negative in the equation than you're answer could be negative.  ex. -3/9= -3   but if the negative sign wasn't there than the answer would be wrong bc the answer would be positive.



hope thats what you need hope it helps.

6 0
4 years ago
The length of a rectangle is six times its width.
Hoochie [10]

Answer:

Length = 30

Width = 5

Step-by-step explanation:

So the formula for perimeter is

P = 2L+2W

And we know that:

L = 6W

So then we put in all the information that we do know

70 = 2(6W)+2W

And pop that into a calculator and you get W=5

So now we put that information into L = 6W to get:

L = 6×5

L = 30

3 0
3 years ago
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lilavasa [31]

Answer:

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3 years ago
Please help!!<br> Will mark brainliest
qaws [65]

Answer:

2/3x+5=y

Step-by-step explanation:

We already know that this has to be linear and that its y-intercept is 5 ((0,5) is a point on the table). That means that the equation is

mx+5=y.

Now all we need to do is plug in some points.

3m+5=7

(Subtract 5 from both sides)

3m=2

m=2/3

3 0
3 years ago
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