Drag the tiles to the correct boxes. Not all tiles will be used. Consider the following function: f(x) = -3/4x+9. Place the steps for finding f^-1(x) in the correct order.

The steps include:

1. y = –3/4x + 9

2. x = –3/4y + 9

3. x – 9 = –3/4y

4. –4/3(x – 9) = y

5. y = –4/3x + 12

6. f¯¹(x) = –4/3x + 12

Step-by-step explanation:

f(x) = –3/4x + 9

The inverse, f¯¹(x) of the above expression can be obtained as follow:

f(x) = –3/4x + 9

Let y = f(x)

y = –3/4x + 9

Interchange x and y

x = –3/4y + 9

Making y the subject of the expression, we have:

x = –3/4y + 9

Rearrange

x – 9 = –3/4y

Cross multiply

4(x – 9) = –3y

Divide both side by –3

–4/3(x – 9) = y

Clear bracket

y = –4/3x + 12

Replace y with f¯¹(x)

f¯¹(x) = –4/3x + 12

Therefore, the steps include:

1. y = –3/4x + 9

2. x = –3/4y + 9

3. x – 9 = –3/4y

4. –4/3(x – 9) = y

5. y = –4/3x + 12

6. f¯¹(x) = –4/3x + 12

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2

answer: list the statements and i will follow up!

step-by-step explanation: