<u>Given</u>:
The given graph represents the cost of the Kayak's rental per hour.
The coordinates are (2,30) and (3,45)
We need to determine the unit rate of renting per hour.
<u>Unit rate of renting:</u>
The unit rate of renting can be determined using the formula,
Substituting the coordinates (2,30) and (3,45), we get;
Simplifying, we get;
Dividing, we get;
Thus, the unit rate for renting a Kayak is $15 per hour.
Answer:
32. ∛((x-7)/4) = f^(-1)(x)
33. -10x - 9
Step-by-step explanation:
32. We want to switch f(x) and x, and then solve for f(x) to get the inverse.
x = 4f(x)³ + 7
subtract 7 from both sides
x -7 = 4f(x)³
divide both sides by 4
(x-7)/4 = f(x)³
cube root both sides
∛((x-7)/4) = f(x)
make f(x) f^(-1)(x) because this is now the inverse
∛((x-7)/4) = f^(-1)(x)
the second answer is correct
33. for composition, we can treat (f · g) (x) as attached picture (content filter!), so we plug g(x) into f(x). This results in
2(-5x-7) + 5
expand
-10x - 14 + 5
add
-10x - 9
the second answer is correct
