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f as a composite function. Activity A.12. Let A = {1, 2, 3), B= {a, b, c, d}, and C= {(s, t). Define f: A → B by f(1) =a, f (2)=b, f(3) = c, 9: A → B by and h: B → C by Biến 11g(1) = c, g(2) = d, g(3) = C, c, h(a) s, h(b) = s, h(c) = t,h(d) = s. = (a) Find the images of the elements in A under the function foh. (b) Find the images of the elements in A under the function g o h. (c) Is f o h an injection? Is fo h a surjection? Explain. slaboptil fart svoun Hiv (d) Is go h an injection? Is g o ha surjection? Explain. DE

f as a composite function. Activity A.12. Let A = {1, 2, 3), B= {a, b, c, d}, and C= {(s, t). Define f: A → B by f(1) =a, f (2)=b, f(3) = c, 9: A → B by and h: B → C by Biến 11g(1) = c, g(2) = d, g(3) = C, c, h(a) s, h(b) = s, h(c) = t,h(d) = s. = (a) Find the images of the elements in A under the function foh. (b) Find the images of the elements in A under the function g o h. (c) Is f o h an injection? Is fo h a surjection? Explain. slaboptil fart svoun Hiv (d) Is go h an injection? Is g o ha surjection? Explain. DE

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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gof as a composite function. Activity A.12. Let A = {1,2,3}, B = {a, b, c, d}, and C = {s, t}. Define f: A → B by f(1) =a,f(2)=b, f(3) =c, 9: A → B by and h: B → C by r { g(1) = c,g(2) = d, g(3) = c, ub h(a) s, h(b) = s,h(c) =t, h(d) = s.lt dous (a) Find the images of the elements in A under the function foh. (b) Find the images of the elements in A under the function g o h. (c) Is f o h an injection? Is f o h a surjection? Explain. (d) is go h an injection? Is go h a surjection? Explain.
Transcribed Image Text:gof as a composite function. Activity A.12. Let A = {1,2,3}, B = {a, b, c, d}, and C = {s, t}. Define f: A → B by f(1) =a,f(2)=b, f(3) =c, 9: A → B by and h: B → C by r { g(1) = c,g(2) = d, g(3) = c, ub h(a) s, h(b) = s,h(c) =t, h(d) = s.lt dous (a) Find the images of the elements in A under the function foh. (b) Find the images of the elements in A under the function g o h. (c) Is f o h an injection? Is f o h a surjection? Explain. (d) is go h an injection? Is go h a surjection? Explain.
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