Some of the questions are about finding the composition of two functions and its domain. An answer to one of these questions is correct when both the formula of the function and the domain are correct. Also examples of Applications of Composition of Functions are included in this site.
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Questions on Composition of functions with detailed solutions
5 questions are presented in this page and more may be accessed using the applet below.
Question 1: Find the composition function (f o g) (x) and its domain.
f(x) = x + 1 , g(x) = 3x
Question 2: Find the composition function (f o g) (x) and its domain.
f(x) = x 2 + 1 , g(x) = sqrt(2 x)
Question 3: Find the composition function (f o g) (x) and its domain.
f(x) = sqrt(-x + 1) , g(x) = x 2 - 8
Question 4: Find, if possible, (f o g) (-2).
f(x) = 2x + 1 , g(x) = x 2
Question 5: Find, if possible, (f o g) (0).
f(x) = 1 / (x + 1) , g(x) = 1 / (x - 1)More Question on Composition of Functions - Using an applet
"inf" is used to mean infinity. A total of 10 questions with their answers are included in the test.
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- answer the question by checking a,b,c,d or e in the lower part of the
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Once you have finished, press "finish" and you get a table with your answers and the right answers to compare with.
More Math Problems, Questions and Online Self Tests and Questions on Composite Functions with Solutions.