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katrin [286]
3 years ago
15

Please view the picture for the problem.

Mathematics
1 answer:
Tema [17]3 years ago
4 0
Notice that we have common denominator 2, so we can split the denominator to express the function in the form f(x)=mx+b
where 
m is the slope 
b is the y-intercept 

f(x)= \frac{3x-1}{2}
f(x)= \frac{3}{2} x- \frac{1}{2}
Look what we have here, a linear function! We know that the domain and range of linear functions is the real numbers.
We can conclude that:
the domain of the function is all the real numbers
the range of the function is all the real numbers

Now, to find the inverse of our function, we are going to replace f(x) with y; then, we are going to interchange x and y and solve for y:
f(x)= \frac{3}{2} x- \frac{1}{2}
y= \frac{3}{2} x- \frac{1}{2}
x=\frac{3}{2} y- \frac{1}{2}
\frac{3}{2} y=x+ \frac{1}{2}
3y=2x+1
y= \frac{2}{3} x+ \frac{1}{3}
f^{-1}(x)=\frac{2}{3} x+ \frac{1}{3}
The inverse of our linear function, is another linear function, so we can conclude that:
the domain of the inverse function is all the real numbers
the range of the inverse function is all the real numbers
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Mandarinka [93]
He would need to sell 28 because 
12.50*28=350 and 350+50=400
4 0
3 years ago
A driver is currently at an elevation of -350 feet write an absolute value statement to express the drivers distance in feet fro
NNADVOKAT [17]

Answer:

d = |h - 0\,ft|, The driver is 350 feet below sea level.

Step-by-step explanation:

The distance of the driver from the sea level is given by the following expression:

d = |h - 0\,ft|

d = |-350\,ft-0\,ft|

d = |-350\,ft|

d = 350 \,ft

The driver is 350 feet below sea level.

3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=Simplify%5C%3Beach%5C%3Bof%5C%3Bthe%5C%3Bfollowing%5C%3Bequations%5C%3Bfor%5C%3B50%5C%3Bpoints
jekas [21]

Answer:

  1. y= -12
  2. x = 7
  3. q = -1
  4. x = 24

Step-by-step explanation:

1. ..............................................

  • 6(y + 7) = 2(y - 3)
  • 6y + 42 = 2y - 6
  • 6y - 2y = -6 - 42
  • 4y = -48
  • y = -12

2...............................................

  • 3x + 2(x - 5) = 25
  • 3x + 2x - 10 = 25
  • 5x = 25 + 10
  • 5x = 35
  • x = 7

3 . ..............................................

  • 10q + 3q + 5 = 2(q - 3)
  • 13q + 5 = 2q - 6
  • 13q - 2q = -6 - 5
  • 11q = -11
  • q = -1

4. ..............................................

  • 1/3(x + 6) = 2/3(x - 9)
  • 3*1/3(x+6) = 3*2/3(x - 9)
  • x + 6 = 2(x - 9)
  • x + 6 = 2x - 18
  • 2x - x = 6 + 18
  • x = 24
3 0
3 years ago
Read 2 more answers
Please help!!!!!!!!! (Solve The quadratic equation by completing the square) 2x^2+12x=66 fill in the value of a and b to complet
yKpoI14uk [10]

I hope this it

Explanation:

5 0
2 years ago
Read 2 more answers
Please help! <br> Trigonometry review
charle [14.2K]

Answer: x = 9

Step-by-step explanation:

15 / 20 = (2x + 3) / 28

cross multiply

15(28) = 20(2x + 3)

420 = 40x + 60

360 = 40x

x = 9

6 0
2 years ago
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