Suppose the depth of the diver is d at time time t, rate is given by r=12 1/3 ft/ min. The equation representing the depth of the diver at time t will be:
f(t)=200-(12 1/3)t
Therefore the depth of the diver after t=4.5 min will be:
f(4.5)=200-(12 1/3)*4.5
f(4.5)=200-55.5
f(4.5)=144.5 ft
This means that after 4.5 minutes the diver will be 144.5 ft deep.
Answer:
y=-x+3
Step-by-step explanation:
Answer:
-1 x - 2
f (x) = -----------
3
Step-by-step explanation:
Then we have y = 3x + 2.
Next, interchange x and y, obtaining x = 3y + 2
Next, solve this result for y: 3y = x - 2; then divide both sides by 3:
y = (x-2)/3
Last, replace "y" with the inverse function label:
-1 x - 2
f (x) = -----------
3
The given expression is
And since we have x+2 common in numerator and denominator, there is a hole at x+2=0, that is at x=-2
And a function is undefined when denominator is zero. And at x=-6, denominator become zero.
So, at x=-6, the function is undefined, or there is a vertical asymptote at x=-6 and hole at x=-2 .
