Question

pdf X Frederic HMOTUTUR ata/local/Microsoft Windows/iNetCache/Content Outlook/NMWXOC18/Cal%201%20Hmk%2001.pdf - + Fit to page 1 Calc. I - Fall 2019 F. Xavier August 29, 2019 Homework # 1, due 09/05 DO NOT USE CALCULATORS. 1 Find the domain of the function f(x) = V-2 - 2x + 10. 2) Which function below is even or odd? Explain. a) f(c) 7 +317 b) () 1 + $- c) f(1) = sec 2 + tant. 3 ) Compute fog and go f, where f(x) = V1 + cos(3x), 9(1) 4 ) Find tan sec0, CSc(). 21. 5 ) Find the inverse function of S(x) = r +1. What is (S-1)(0) 6 ) Solve the equation (1+cm) - (-es)-1 in the interval O S 2. acer

Answer 1

f(x) = x2x+10 if f be real function For all real values of f(a) - x=2x+1070 Dr, u + 2x-10 so by Sridhar Aacharya's Quadratic equn Formula x = -2 = Jythy ie, x=-1-283, -1 + 2√3 [if (x-2)(x-1) 50 I and alſ then a sauß. then the domain of f(a) in IR 7% -|- 2Y3 - 1+ 2+3 1 1 e f 2 & Even Function (odd function A Function f(x) is said to be even : if f(-x) = f(x) and odd if f(-x) = fa f(-x) = -f(x) and also if f(-x) 7 = f(x) then we cannot say.
1
a f(x) = x² + 3x lt Now, f(-x) = -xt – 3x't Then f(a) be old function (here) & f(x) = 1 + 1 - 16 h Now, f(x) = 1 + (x - 16 / 4 =)+ - 16/23 Then here f(x) be even Function, & f(x) = seext tann Nowo, f(-x) = See (x) + tan (*) = + Seen - ana Then we nor odd excuse) f(x) in nither even function (we cannot any f(x) = Da + 6a3a q ) = 2x
2
33 fog = f[2(x)] = √2x + Cos. 3.20 = r2n + Corsa g [fa] qof = q [va + 61 3x] = 2 (vx + Con 3x) tan TYG Sinnt r Since we know - 1/2 = 1/3. Sin30%= % Ceny = 3 & See 0 = 1 = 1 Cn01 & Cosec (13) Sin (137) - Sin (60+ 1). | Sin C, == 1 Te Another time the process will C be denote.'
3
2 = f(x) = xt+ 20 Conceder f(a)=y then yixton x=7y-1 Then the in verse function of fles & f(x) = -1 how f'(o) =(-1) t = -1 +2.(2x + 6 - 12.5 - 6,1 21,5 46023 = 1 Dr, Conn al or x=200 nedz Given nE[0, 21, & osas 217 Then, x=0, 21, fathers are not a L belowng's ta a this in the requared Solution
4