(10 points) For the given z values in the top row of the table, the correspondin
ID: 2911805 • Letter: #
Question
(10 points) For the given z values in the top row of the table, the corresponding output values of functions f and g are shown in the rows below. r -3 -2 -1 0 1 2 3 f(x) 9 2 6 -4 -5 -8 -9 g(x) 3 0 3 2 -3 -1 -5 a. f1? . a function because for ? - value of ? , there ? - a unique corresponding value of ? . . Therefore f ? . a one-to-one function. b. g' ? a function because for ? v value of 2 , there ? va unique corresponding value of ? . . Therefore g ? Ta one-to-one function. C. Evaluate these expression using the table. i f-1(-9) ii. g(3) III. f(g(2) iv. f-1(2) v. f(g(3) VI. 9(f (-4))Explanation / Answer
a . f-1 is a function because for every value of x, there is a unique value of f(x). Therefore f(x) is a one to one .
b. g-1 is a function because for every value of x, there is a unique value of g(x). Therefore g(x) is a one to one .
c.i. f-1(-9) =3
ii. g(3)=-5
iii.f(g(2)) = f(-1)=6
iv .f-1(2)=-2
v.f-1(g(3)) = f-1(-5)=1
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