Question

For each pair of transformations "T" and "T-1", find T(T-1(w)) and T-?(T()). Then use T or F to indicate if these transformations are inverses of one another. 1) Let T(a + bx + cx2 + dx3) = la +16+(-1)c+ld Da +(-1) b+ 1c +(-1)d la + 2b +(-2) c + 3d 0a + 0 + 0c + 1d and T-1 = 1a +06+1c +0d + (4a + (-4) 6+ (-5) c + 3d) x + (-3a +36 +30 + (-2) d) x2 + (1a +(-1)+(-1)c+ 1d) 23. с 1)T(Tº [al ii) T-1(T(a + b3 + cx+ dx2)) = iii) Tor F: These two transformations are inverses of one another: b 2) Let T -2a +(-7)+(-3)c+ 2d + (2a + 46+ 2c +(-1) d) x + (-1a +(-1) b+0c + 1d) x2 + (-2a +(-2)6+(-1)c+ 1d) 23 and C T-1(a + bx+ccº + dx) la + 2b + (-1) c+id la + 3b + (-2) c + 3d -2a +(-5) b + 4c+(-5) d 2a + 5b + (-2) c+ 4d 1)T(T-1(a + bx + cx² +dx)) = ii) T-10T с Activat Go to Set

Answer 1

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so, +/T fat burt (x2+ dx²)) = a + (b-con+da2 These two transformation are inverse of one another False . Hote. flui= x² & gul + them flgeml= f ( = (+) 212 g ( f(2)= g(x2) 2 I x2 we x com ree, f (gen? = g(flui) if we style tila ga ofl & f =T then then If + (Tui)= Testruela inverse of each other acuradling second question by applying floruit & g (Flui). to that, you cash do