Let f and g be real functions. Show directly from the definitions that if f is everywhere continuous and lim g(x) = L, then lim f(g(x)) = f(L). x+1+ x+1+
Let f and g be real functions. Show directly from the definitions that if f is everywhere continuous and lim g(x) = L, then lim f(g(x)) = f(L). x+1+ x+1+
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 4SE: How do you find the domain for the composition of two functions, fg ?
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![Let f and g be real functions. Show directly from the definitions
that if f is everywhere continuous and lim g(x) = L, then lim f(g(x)) = f(L).
x+1+
x+1+](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b095e0c-dca1-4f54-84b4-645be8f76f73%2F5914912a-ae9a-485e-acea-699f92352bf4%2Foqdbrti_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f and g be real functions. Show directly from the definitions
that if f is everywhere continuous and lim g(x) = L, then lim f(g(x)) = f(L).
x+1+
x+1+
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