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Question 1190722: According to Census.gov, in 2019 there were approximately 2.7 million people working at janitors and building cleaners. Approximately 11% of these were classified as having at least one disability. The most common disability types for workers were ambulatory, hearing, cognitive, and vision.
Let f(d)=d⋅0.30 where d represents the total number of janitors and building cleaners working with a disability. Let d=g(j)=j⋅0.11 where j represents the total number of janitors and building cleaners. Find the function f(g(j)). If f(d) gives the number of janitors and building workers who have an ambulatory disability, and g(j) represents the number of janitors and building cleaners with a disability, what does f(g(j)) represent? Find f(g(j)) for 2019.
Answer by CPhill(1959)   (Show Source):
You can put this solution on YOUR website! **1. Find the function f(g(j))**
We are given:
* f(d) = d * 0.30
* g(j) = j * 0.11
To find f(g(j)), we substitute g(j) for d in the function f(d):
f(g(j)) = (j * 0.11) * 0.30
f(g(j)) = j * 0.033
**2. Interpret f(g(j))**
* g(j) represents the number of janitors and building cleaners with a disability.
* f(d) gives the number of janitors and building workers who have an ambulatory disability.
Since f(g(j)) is a composition of these functions, it represents the number of janitors and building cleaners who have an ambulatory disability.
**3. Find f(g(j)) for 2019**
We are given that j (the total number of janitors and building cleaners in 2019) is 2.7 million, or 2,700,000.
f(g(2,700,000)) = 2,700,000 * 0.033
f(g(2,700,000)) = 89,100
**Answer:**
The function f(g(j)) represents the number of janitors and building cleaners who have an ambulatory disability. For 2019, f(g(j)) = 89,100.
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