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Mathematics LibreTexts

5.1E: Composition of Functions (Exercises)

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For the following exercises, find (fg)(x) and (gf)(x) for each pair of functions.

34. f(x)=4x,g(x)=4x
35. f(x)=3x+2,g(x)=56x
36. f(x)=x2+2x,g(x)=5x+1
37. f(x)=x+2,g(x)=1x
38. f(x)=x+32,g(x)=1x

For the following exercises, find (fg) and the domain for (fg)(x) for each pair of functions.

39. f(x)=x+1x+4,g(x)=1x
40. f(x)=1x+3,g(x)=1x9
41. f(x)=1x,g(x)=x
42. f(x)=1x21,g(x)=x+1

For the following exercises, express each function H as a composition of two functions f and g where H(x)=(fg)(x).

43. H(x)=2x13x+4
44. H(x)=1(3x24)3


This page titled 5.1E: Composition of Functions (Exercises) is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform.

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