The function f(x) = 6x + 5 is one-to-one. Find an equation for f '(x), the inverse function.
1 answer:
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Answer:
<em>f of x equals negative one third x plus 5</em>
Step-by-step explanation:
<u>Question 1 </u>
We know the line contains the point (a,b)=(0,1) and has a slope m=0
We can find the equation of a line knowing both parameters by using
y-b=m(x-a)
y-1=0(x-0)
This is the required equation of the line
y=1
<u>Question 2 </u>
The student is running a 5-Km race. Les's set x as the time in minutes. 3 minutes are needed to complete one Kilometer, so every single minute will be enough to run 1/3 Km. Every x minutes, the distance will be
Since the runner needs to complete 5 Km in total, the distance still to complete will be
This is the required function. It can be written as
"f of x equals negative one third x plus 5"