sol_domain_range_2

sol_domain_range_2 - Free From www.analyzemath.com Calculus...

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Unformatted text preview: Free From www.analyzemath.com Calculus Worksheet: Domain and Ran2:e OfInverse Tri2:onometric Functions(1) Review: cas-l(x) [0, n] Y = range: [-1,1] (-00,00) range: range: [-2'2] (-2'2) domain: domain: nn y = sin-l (x) Questions 1. Find the domain of the following functions a) j(x)=2sin-I(2x-l) 1> (2 M cd, y\ : - -- i< J. X " \.,- -\ S. \ o(X" " <:: '-' \ ~: b) _\lS ~-\ (a-X-I) ~11 l...- ~'> [-,,\~~ g(x) = 3 tan-l (x) j) 0 'MCl( V\ ~ l- t;c / 1- »C) ~: c) h(x)=n-2cas-I(-x+l) .,-2. (-)( c,' -. 0 ;t? ~ ~ em -, (-)( --{- ~ 1\ \) ><>r0 o ~ ,..2.. LN~ - \ 'it >/ 1\ - (-->'-- +1) ~ - Cl\ ~ --" 1 G,~ - I (-X + \) d) i(x) = sin(tan-1(x)) 1) C ¥YtLLL ~'\ : c- />C/ + 1)0) e) j(x) = cos(sin-1(x)) 1>c --\tV\ C\.\ ~ ~ -l -- ( ('X '-.: I • ~V\.C}eL : -DL-- ( ~ -I C!) ( Tl L-(>C)) ~ \ o (~o C~~l f) k(x) = tan(cos-1(x)) bL'L~ J( i: a C?) :: ~n -\ TI~ C~) (~ lA-~ [-\~ 0) U(o) + t--ClvlA l 1 d~ r·V\.~I, Till-) IS kh.d~ }\Ad ct V evi;:c~ ~l)W e0-e" tklre. \'~ ~£-o~ehf--~ (-*' + ~) ...
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This note was uploaded on 04/10/2011 for the course MATH 1400 taught by Professor Grether during the Summer '08 term at North Texas.

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sol_domain_range_2 - Free From www.analyzemath.com Calculus...

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