Answer with Step-by-step explanation:
We are given that a function
a.We have to find the inverse of m.
Suppose,
Replace x by y and y by x
Substitute
b.When the inverse function of given function is
Then , we get fog(x)=
When f and g are inverse to each other then fog(x)=Identity function.
c.If f(x)=x
It is self inverse function.
Answer:
You kayak 255 feet farther 5 minutes on the way down the river than in 5 minutes on the way up the river
Step-by-step explanation:
Given:
The rate at which you kayak up a river = 48 feet every 30 seconds.
The rate at which you kayak down a river = 423 feet every 3 minutes
To Find:
How much farther do you kayak in 5 minutes on the way down the river than in 5 minutes on the way up the river = ?
Solution:
Let the speed with which you kayak up the river be x and the speed with which you kayak down the river be y
Then
x = [ Converting 30 seconds to 0.5 minutes]
x = 96 feet per minute
Similarly
y =
y = 141 feet per minute
Now the distance kayaked up the river in 5 minutes
=>
=> ( in 5 minutes there are 10 30 minutes)
=>960 feet
Now the distance kayaked down the river in 5 minutes
=>
=> ( in 5 minutes there are 10 30 minutes)
=>705 feet
Thus
960-705 = 255 feet