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Let f and g be the functions given by f(x) = ex and g(x) = lnx. Find the function f(g(x)).
We will use the concept of functions in order to find f(g(x)).
Answer: Let f and g be the functions given by f(x) = ex and g(x) = lnx, then the function f(g(x)) = x
Let us see how we will use the concept of functions in order to find f(g(x)).
Explanation:
Given that, f(x) = ex and g(x) = lnx.
In order to find composite function f(g(x)), we have to substitute x by g(x) in the function f(x) = ex.
On substituting, we get that f(g(x)) = eln(x)
Now using the logarithmic property that is alog x = x, we get f(g(x)) = eln(x) = x
Hence, f(g(x)) = x when f(x) = ex and g(x) = lnx.
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