Answer:
f(x) = -5x - 4
Step-by-step explanation:
We want to get the inverse of the following function:
f^-1(x) = (-1/5)x - 4/5
To do that, we have to replace x with f(x) and f^-1(x) with x, as follows:
x = (-1/5)f(x) - 4/5
And then solve for f(x), the inverse of f^-1(x).
x + 4/5 = (-1/5)f(x)
f(x) = -5x + (-5)4/5
f(x) = -5x - 4
To check our result we compute a pair (x, f(x))
x f(x)
1 -5*1 - 4 = -9
which has to be equivalent to (-9, 1) in the original function
x f^-1(x)
-9 (-1/5)*(-9) - 4/5 = 1
Answer:
189.98
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
From the question, we are informed that it takes 12 buckets of water to fill a fish tank. We are further told that Chloe uses scoops which are equal to 1/4 of a bucket.
The number of scoops that are needed to fill the whole tank would be:
= 12 ÷ 1/4
= 12 × 4
= 48
