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ddd [48]
3 years ago
11

What’s the inverse of f(x) = -2 + 2/3x

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0

So the steps to find the inverse are:

  1. Change f(x) to y
  2. Switch the positions of x and y
  3. Solve for y
  4. Change y to f^-1(x)

f(x)=-2+ \frac{2}{3}x\\\\y=-2+ \frac{2}{3}x\\\\x=-2+ \frac{2}{3}y

Now let's solve for y as such:

x=-2+ \frac{2}{3}y \\\\x+2=\frac{2}{3}y\\\\\frac{3}{2} (x+2)=y\\\\\frac{3}{2}x+3=y\\\\\frac{3}{2}x+3=f^{-1}(x)

<u>Your inverse is f^-1(x) = 3/2x + 3</u>

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Simplify<br> 5т — п — 5п + 2
grigory [225]

Answer:

5t-4n+2

Step-by-step explanation:

n-5n=-4n

5t-4n+2

8 0
3 years ago
Cassie's broker charges her a commission of $4.25 for every ten shares of stock bought or sold. Cassie buys 92 shares of Hyren A
olya-2409 [2.1K]

Answer:

2,850

Step-by-step explanation:

4.25 x 9 = 38.25

4.25 x 13 = 55.25

4.25 x 12 = 51

13.70 x 92 = 1260.4

3.28 x 130 = 426.4

8.06 x 126 = 1015.56

all totals would equal 2,846.86, which to the nearest would be $2,850

4 0
3 years ago
how does kasey situation change . the function? write a new function k(t) to represent kaseys account balance to any year t
rjkz [21]

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6 0
3 years ago
What is 17,683 rounded to the nearest ten thousand?
MrMuchimi

20,000

Thankyou :)

Follow me....

3 0
3 years ago
Read 2 more answers
Help answer and EXPLAIN STEP BY STEP
pychu [463]

15. (-k^{3} -5k^{2} + 1) - (6k^{3}-k^{2} -2)

Step 1: Distribute the subtraction sign to all the numbers in the second set of parentheses...

(-k^{3} -5k^{2} + 1) - (6k^{3}-k^{2} -2)

-k^{3} -5k^{2} +1 - 6k^{3} +k^{2} +2

Step 2: Combine like terms (k^{2}'s go with k^{2}'s)

-k^{3} -5k^{2} + 1 - 6k^{3}+k^{2} +2

-5k^{2} +k^{2}

-4k^{2}

-k^{3} -4k^{2} + 1 - 6k^{3}+2

Step 3: Combine like terms (k^{3}'s go with k^{3}'s)

-k^{3} -4k^{2} + 1 - 6k^{3}+2

-k^{3} + (- 6k^{3})

-7k^{3}

-7k^{3} -4k^{2} + 1 +2

Step 4: Combine like terms (normal numbers go with normal numbers)

-7k^{3} -4k^{2} + 1 +2

1 + 2

3

-7k^{3} -4k^{2} + 3

You were correct!

16. 49m^2 - 84mn + 36n^2

I don't really know how to explain this one but I got: (7m-6n)(7m-6n)

7 0
3 years ago
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