Answer:
Option B. f¯¹(x) = ³√(– x – 9)
Step-by-step explanation:
From the question given above:
f(x) = – x³ – 9
f¯¹(x) =?
We can obtain the inverse f¯¹(x) of the above equation by doing the following:
f(x) = – x³ – 9
Replace f(x) with y
y = – x³ – 9
Interchange x and y
x = – y³ – 9
Make y the subject . This is illustrated below:
x = – y³ – 9
Rearrange
x + 9 = – y³
Multiply through by –1
–(x + 9) = y³
y³ = – x – 9
Take the cube root of both side
y = ³√(– x – 9)
Replace y with f¯¹(x)
f¯¹(x) = ³√(– x – 9)
Thus, the inverse of the function
f(x) = – x³ – 9
is
f¯¹(x) = ³√(– x – 9)
Answer:
6 3/4 cups.
Step-by-step explanation:
Multiply 3/4 by 9.
<em>Hope this helps!</em>
Step-by-step explanation:
Here's the first question and how to solve the second.
So the first business start with 250, that's your b in slope.
y = mx + b
y = mx + 250
Now, they charge 14 an hour so that's your m.
y = 14x + 250
x is the number of hours it takes.
The second business is straight up 22 per hour, so it's just y = mx, where b is 0.
y = 22x VS y = 14x + 250
Try plugging in different numbers and seeing how much it take to level out!
