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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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Simplify and express in exponential form: 8^-1 * 3^3/ 2^-4 * 9^-2
Yuri [45]

Answer:

2^1* 3^7

Step-by-step explanation:

8^-1 * 3^3/ 2^-4 * 9^-2

Negative exponents move from the numerator to the denominator or from the denominator to the numerator

2^4*9^2* 3^3 /8^1  

Rewriting 9^2 as 3^2^2 = 3^4  and 8 = 2^3

2^4 * 3^3 * 3^4 / 2^3

2^4/ 2^3 = 2   and 3^3 * 3^4 = 3^(3+4) = 3^7

2* 3^7

5 0
3 years ago
Read 2 more answers
Can someone please let me know if these are the correct answers
Lostsunrise [7]

1. x >= 4, because 4 is dotted, and that means that 4 is included

2. x =/ 4, the third answer is correct, because all numbers except 4 are included

3. the first number line is the correct answer, because -3 is not included

4. the second number line is the correct answer, because -1 is included

5. the second number line is the correct answer, because 6 is not included

6. the first number line is the correct answer, because 0 is included

7. the second number line is the correct answer, because all numbers except -4 are included

8. the third number line is the correct answer, because -1,5 is included

When a number is included in an interval, it should have full dot on the number line, so that's how you know.

Hope this helps!

8 0
3 years ago
From among the 300 largest cities in the United States, the FleeceU Auto Insurance Company identified the 10 safest and 10 least
Anastaziya [24]

Answer:

7

Step-by-step explanation:

I just want points

8 0
2 years ago
The length of the diagonal of a rectangle is 140−−−√ inches.
andrew11 [14]

Answer:

answer is second one

Step-by-step explanation:

The length is between 11 and 12 inches.

√140 = 11.83 inches

5 0
2 years ago
Simplify. −38+(1+22)2
Hitman42 [59]
It would be 3 over 5
4 0
3 years ago
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