Answer:
Solutions to the equation are 
which agrees with the last option listed among the possible answers
Step-by-step explanation:
We solve this quadratic equation via the quadratic formula:
F(x) = <span>3x/(8+x) = y
f^(-1) is the inverse function. As its name suggests if f(x) = y that we need to find a g(x) such that g(y) = x
In order to find f^(-1) switch x with y and solve for y
3y/(8+y) = x
x(8+y) = 3y
8x+xy = 3y
8x=3y-xy
8x = y(3-x)
y = 8x/(3-x)
f^(-1) = y = </span>8x/(3-x)
Pattie runs at 5 ft/sec
She has got a head start of 15 feet.
So after 1 second, Pattie runs = (5+15) ft
<span>
= 20 </span>
ft
After 2 second Pattie runs = (20+5)ft
= 25 ft
After 3 second Pattie runs = (25+5) ft
= 30 ft
After 4 seconds Pattie runs = (30+5) ft
= 35 ft
After 5 seconds Pattie runs = (35+5) ft
= 40 ft
After 6 seconds Pattie runs = (40+5) ft
= 45 ft
Now Keith runs at 8 ft/sec
After 1 second Keith runs = 8 ft
After 2 second Keith runs = (8+8) ft
= 16 ft
After 3 second Keith runs = (16+8) ft
= 24 ft
After 4 second Keith runs = (24+8) ft
= 32 ft
After 5 second Keith runs = (32+8) ft
= 40 ft
After 6 second Keith runs = (40+8) ft
= 48 ft
So Pattie will stay ahead of Keith upto 4 seconds. In the 5th second Pattie and Keith will be level and in the 6th second Pattie will be overtaken by Keith.
