Question

EGR MA / Wins Web IV 6. (5 points each) Find the domain and range for f(r). (a) f(x) -2-(1) (b) f(x) = - +4 (c) f(x) = In(x+1) (d) f(x) = log(x2 - 1) 6

Answer 1

a). f(x) - 9- (3)? domain :- hoz The function has no undefined points doma in constraints. Therefore domain is - 222 interval (سه ربه - Ranger The range of an of the exponential function form -cn hax+b + K is f(x) <k K=2 fra) < interval ( -ia) f(2)= e²+4 个 b). Domain:- The function has no undermined points noy domain constraints, the domain 23 -UL ELL interval (به ربه - Range: an function The range of exponential Of the form chartby K=4 f(x).74 + K is f(x)7K

interval (414) c), f()-on (2+1) Domain loga f(x) = f(x) 70 xto x²+170 x²,-1 if his even un 7,0 for all 4 True for all a the function has no-undefined points domain hor constraints. The store domain is LaaLL in terrat (-ow, a) Range :- & y= ln (x²+1) inte change asy x= In cy²+1) el=g²+1 ye = e? y = t vel, DOI Ye Veli i Jex, solve verdi fcal 70 et-1 TO

ell apply exponent oule.:- a°= ) lzeo exy, e 7 7 function domain is 270 solve -Je?-, JA(a) 7,0 e21.70 el el 70 2700 function doma in is arro combine intervals: fra), inte oval :-(014) d). f(a) = log (2-1) Domain 10gf(x) = f(2) 70 22 170 27 | x<-l or x 71

The function doma in is a<-1 or a71 interval (WIDU(112) Ranget y: log (2-1) interchange 2007 x= log ly²1) log ye, y" - 18+ y= Jior ti Y= Jio? t , Vio+ Domain range of vio?ti lot / LLaLL - ſ10²t range 2 La La combine the intervals 2 <frald interlal رمه الله -)