Question

2. Using your knowledge of inverses, prepare a table of values for the inverse of the function in problem #1. Use the table you filled out above to help! Graph the inverse on the same coordinate system as the function above. Label each graph appropriately as f(x) or f'(x). Answer the following for the inverse function: The equation of the inverse is f'(x) = х y Domain Range coordinates of the x-intercept equation of the asymptote

Answer 1

x 1) f(x)= 3 x -2 Ya (3-2) 3 (37) 0 ol 3 (31) ( 3² ) 2 9 Domains The values of x for which flag is defined. f(x) = 34 is defined cor! Cor! valid for all vallies of x Domain ; a E R. Cor) xt (-0, a) Ranges WEER. RER =) RESER. RER = f(x) E (oro) Ilm ocflx) < oo og 2 wordinater of y-intercepts To find it put x=0 f(0) = 3=1 (0.1), coordinates are

21 equation of Asymptate = page the = proste..y=0 flal=3 = gk 3 - уго -3 0 f!!(x) giren fix) = 3 32. let fal=y ya 3k apply loga loga on both sides. logist logy logy = (log :) logy x ( .; logate='Pelaga) (: log} = 1) log, Х i f'(x) 3 X>0 Domain: f(x) is defined for at (o, oly

Range: -ox < tako fladt R coordinates of x-intercept. Put y=0 loga Os 3 x = 3° = b coordinates: (1,0) Asymptotes x=0 X r (logo) 0 2. 0.63 ( و 10 ) 3 4 1.261 5 1.46 +1(x) = logo 0 2-0