WeBhork: MTH 202-00 x New Tab Search edu/webwork2/MTH-202-001-Fall 17/Set04-Revi

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WeBhork: MTH 202-00 x New Tab Search edu/webwork2/MTH-202-001-Fall 17/Set04-Review Extra-Credit/5/?showOldAnswers=1&effectiveUser; access.nycgov D OpenRG AutomaticS Get Your Free Credit © Case Manager Jobs i x 0 (1) + Composition of 4X MATHEMATICAL ASSOCIATION OF AMERICA Kwebwork mth_202-001-fall17 set04_review_ extra_credit 5 Set04 Review Extra Credit: Problem 5 Prev Up Next (1 pt) Let f(x) 3r + 1 and g(z) = 8-12. Evaluate the following: Note: You can ean partia credit on this propiem Preview Answers Submit Answers You have attempted this problem 0 times You have unlimited attempts remaining Email instructor

Explanation / Answer

(5)

f(x) = 3x + 1, g(x) = 8 - x^2

(a) f(g(x)) = f(8 - x^2) = 3(8 - x^2) + 1 = 25 - 3x^2

f(g(-2)) = 25 - 3(-2)^2 = 13

(b) g(f(x)) = g(3x + 1) = 8 - (3x + 1)^2

g(f(-2)) = 8 - {3 * -2 + 1}^2 = -17

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