Question

4. For the given functions, determine the following compositions (fºg)(x) and (g)(x): S(x) = x2 - 4 and g(x) = 2x +3 5. Write as a single logarithm: log, (5) + 4 log; (x) – log, (y) – log, (2) 6. Rewrite the expression as the sum or difference of logarithms, simplify as far as possible. 64.rs log 4

Answer 1

f)=-02-4; 9(1) = 2x+3 (fog)(x) = f(g()) =f(x+3) = (2x+3) = 4 347349+ 22-4 =42+12275. (905) (4) q[fea)] =9[<<<4) = 2(724) +3 242-843 = 232-5

6 loga thook + loob = lor(ab) loy maloni los E 208 x?n loga leq (5) a les as flory + let log(524) - logcuz) 3 log(5x4 ya

6475 log 4 + log x5 loo y² Lor (6425)-101 107964)+208(73)-3 3 (2) 4 4 4 4 4. 3.6094 ts los-3 ilogy 4 4 С loga = 3:+5log? 3 lory 4 ته 4