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Unformatted text preview: 504511 Find the formula for the compositions f g and f g . Simplify where possible. 504. f (x) = x 3 , g(x) = 4  2x 505. f (x) = 12  x 2 , g(x) = 4 1 506. f (x) = , g(x) = x  3 x x 1 1 x 507. f (x) = , g(x) = 2 2 x 1 1 508. f (x) = , g(x) = x +1 x 509. f (x) = x  2, g(x) = 2  x x 510. f (x) = , g(x) = x 1 + x2 511. f (x) = x  2 , g(x) = x 3  1 512517 Sketch the graph and state the domain and the range of the function. Determine whether or not the function has an inverse. If it does, find it. 512. f (x) = 3 x + 4 513. g(x) = x + 4 1 514. y = 2 ,  1 x 1 x 515. f (x) = x  2 ,  6 x 10 13 516. y = x3 3x  5 517. y = 7 518521 Find the inverse of the function. 518. f (x) = 3 2x  11  1 519. y = (x  2)5 1 x 520. g(x) = 2x 1 x 521. f (x) = 2+x 522524 Find the inverse of the given function without interchanging the variable labels. 522. The height of a gorilla is given by h(m) = a 3 m , where m is the mass of the gorilla and a is a positive constant. 3a . a+2 2 524. The quantity p depends on the quantity m according to p(m) = . 1+ 3 m
523. The quantity v depends on the quantity a according to v(a) = ...
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This note was uploaded on 11/05/2010 for the course 115 cs taught by Professor Kuzak during the Spring '10 term at Waterloo.
 Spring '10
 kuzak

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