I need help w/ this ty

F(x) = 2x+1/×-1 find the inverse function

denis23 [38]

To factor this, start by replacing x with y and then solve for y
$f(x) = \frac{2x+1}{x - 1}$
$x = \frac{2y+1}{y - 1}$
$(y-1)x = \frac{2y+1}{y - 1} * (y-1)$
$(y-1)x = 2y+1$
$xy -x = 2y+1$
$xy - 2y -x +x = 2y - 2y +x+1$
$xy - 2y = x+1$
Factor out y on the left side.
$\frac{xy - 2y}{y} = x+1$
$y(x - 2) = x+1$
$\frac{y(x - 2)}{(x-2)} = \frac{x+1}{x-2}$
$y = \frac{x+1}{x-2}$
$f(x)^{-1} = \frac{x+1}{x-2}$

3 0

3 years ago

Help i need the answer by 10am December 23

Sever21 [200]

Answer:

Simon: 55 hours

Alvin: 70 hours

Theodore: 159 hours

Total: 284 hours

Step-by-step explanation:

Let A, T, and S stand for the hours worked by Alvin, Simon, and Theodore.

We are told that:

A = S + 15,

T = 3S - 6

and

A + S + T = 284

Note that the first two equations state the value of A and T in terms of S. Let's use them in the third equation, so that we'll have only one unknow:

A + S + T = 284

(S + 15) + S + (3S - 6) = 284

5S + 9 = 284

S = 55

Now use this value of S in the first two equations to find A and T:

A = S + 15

A = 55 + 15

A = 70

T = 3S - 6

T = 3*55 - 6

T = 159

(55 + 70 + 159) = 284

8 0

3 years ago

A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters. Which expression

Papessa [141]

Answer:

This assumes that the question was meant to read:

"A triangle has side lengths of (7x−4) centimeters, (x+3) centimeters, and (3x+2) centimeters." And not "A triangle has side lengths of (7x-4)(7x−4) centimeters, (x+3)(x+3) centimeters, and (3y+2)(3y+2) centimeters."

If the revision is correct, the perimeter is 11x + 1 cm

=============================================

If the question was correctly written, then answer is:

50x^2 - 50x + 9y^2 + 12 y + 29

===============

Step-by-step explanation:

(7x-4) cm

+ (x+3) cm

+ (3x+2) cm

11x + 1 cm

If the question was correctly written as is, then:

(7x-4)(7x−4) = 49x^2 - 56x + 16

+(x+3)(x+3) = + x^2 + 6x + 9

+(3y+2)(3y+2) = +9y^2 + 12 y + 4

50x^2 - 50x + 9y^2 + 12 y + 29 cm

8 0

2 years ago

2ND TIME REPOST

Mars2501 [29]

Are you trying to figure out what X is? One of the equations equal to 4, and the rest equal to 24.

6 0

3 years ago

A firm producing socks has a fixed cost of $20,000 and variable cost of $2 per pair of socks. Let x = the number of pairs of soc

svetoff [14.1K]

Answer:

break even point = 8000 socks produced or $36000 in costs

Step-by-step explanation:

the cost function of the firm is

total cost = fixed cost + variable cost = $20000 + $2*Q

where Q= number of socks

the revenue from sales is

sales = Price* Q = $4.50*Q

the break even point is reached when the net profit is = 0 ( that is, the total cost is equal to the revenue from sales) , then

total cost = sales

$20000 + $2*Q =$4.50*Q

Q= $20000/($4.50-$2) = 8000 socks

that represents

total cost = $20000 + $2*8000 = $36000

then

break even point = 8000 socks produced or $36000 in costs

3 0

3 years ago