Four questions

(1 point) Suppose that f(x) = 18x -8 and g(x) = 8x2 - 6. For each function h given below, find a formula for h(x) and the domain of h. Enter the domains using interval notation. (A) h(x) = (f . g)(x). h(x) = Domain = (B) h(x) = (8 . f)(x). h(x) = Domain = (C) h(x) = (f . f)(x). h(x) = Domain = (D) h(x) = (8 . g)(x). h(x) = Domain =(1 point) Use a sum or difference formula or a half angle formula to determine the value of the trigonometric functions. Give exact answers. Do not use decimal numbers. The answer should be a fraction or an arithmetic expression. If the answer involves a square root it should be enter as sqrt; e.g. the square root of 2 should be written as sqrt(2); Sin(%) = sin(38"')= cos(%)= cos( %)= Note: You can earn partial credit on this problem. (1 point) The expressions A,B,C,D, E are left hand sides of identities. The expressions 1,2,3.4,5 are right hand side of identities. Match each of the left hand sides below with the appropriate right hand side. Enter the appropriate letter (A,B,C,D, or E) in each blank. A. tan(x) B. cos(x) C. sec(x) csc(x) 1(cns(x))2 cos(x) E. 2 sec(x) 1. tan(x) + cot(x) cos(x) 1sin(x) 2' 1sin(x) + cos(x) 3. sin(x) sec(x) 4. sec(x) sec(x)(si11(x))2 5. sin(x) tan(x) (1 point) If 0030') = % where 71: