To get the inverse of any function f(x) [ just make sure that it passes the horizontal line test] follow the steps:
- Solve for x, i.e separate x in one side and the other terms in the other side, included f(x).
- Swap x and f(x).
- The result is the inverse of the original
function .
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Apply that on your function
Answer:
The estimated GDP in 2007 is 12782 billion dollars.
The estimated GDP in 2011 is 15010 billion dollars.
The estimated GDP in 2012 is 15567 billion dollars.
Step-by-step explanation:
Consider the provided function.
Where y = 10 corresponds to the year 2010.
Part (b) Estimate the GDP (to the nearest billion dollars) in 2007.
If y = 10 corresponds to the year 2010 then y = 7 corresponds to the year 2007.
Substitute the value of y = 7 in the provided function.
Hence, the estimated GDP in 2007 is 12782 billion dollars.
Part (b) Estimate the GDP (to the nearest billion dollars) in 2011.
If y = 10 corresponds to the year 2010 then y = 11 corresponds to the year 2011.
Substitute the value of y = 11 in the provided function.
Hence, the estimated GDP in 2011 is 15010 billion dollars.
Part (C) Estimate the GDP (to the nearest billion dollars) in 2012.
If y = 10 corresponds to the year 2010 then y = 12 corresponds to the year 2012.
Substitute the value of y = 12 in the provided function.
Hence, the estimated GDP in 2012 is 15567 billion dollars.