Unformatted text preview: Topics in Functions Answers
x+2
6
x+3
(b) f −1 (x) =
5
−1 (x) = − 5 x +
(c) f
3 (i) f −1 (x) = 3 − 1. (a) f −1 (x) = (d) f −1 (x) = (x − √ 1
3
2)2 + 5, x ≤ 2 1
(e) f −1 (x) = 3 (x − 5)2 + 1 , x ≥ 5
3
1
(f) f −1 (x) = 1 x5 + 3
3
√
(g) f −1 (x) = 5 + x + 25 (h) f −1 (x) = − x+5
3 −4 √ x+4 (j) f −1 (x) = − x+1 , x > 1
2
4x − 3
(k) f −1 (x) =
x
x
−1 (x) =
(l) f
3x + 1
4x + 1
(m) f −1 (x) =
2 − 3x
6x + 2
(n) f −1 (x) =
3x − 4
−3x − 2
(o) f −1 (x) =
x+3 3. Given that f (0) = 1, we have f −1 (1) = 0. Similarly f −1 (5) = 1 and f −1 (−3) = −1 5.3 Other Algebraic Functions 5.3 311 Other Algebraic Functions This section serves as a watershed for functions which are combinations of polynomial, and more
generally, rational functions, with the operations of radicals. It is business of Calculus to discuss
these functions in all the detail they demand so our aim in this section is to help shore up the
requisite skills needed so that the reader can answer Calculus’s call when the time comes. We
brieﬂy recall the deﬁnition and some o...
View
Full Document
 Fall '13
 Wong
 Algebra, Trigonometry, Cartesian Coordinate System, The Land, The Waves, René Descartes, Euclidean geometry

Click to edit the document details