2+u
for 0 < a < 2, then INU
2' | 4+a?)
2.
If f(a)= log
2-a
3.
If f:R* →(8,00) defined by f(x)=x² +8, then find f-'(x).
4.
f-g.
5.
2
8
6.
Show that f: R- R defined by f(x) = x + 2 is a bijection also find f^(4) and {f-'(x):25x53}.
If f = {(4, 5), (5,6), (6,-4)} and g = {(4, 4), (6,5),(8,5)}, then find
2f, f2 ,2 + f, fg, f + g, f - g, 2f + 4g, f/g, Vf.
, ,
If f(x) = x² and g(x)=2x+1 are two real functions, then find (f+g)(x), (f-g)(x), (fg)(x).
Given f(x) = x + 2, g(x) = 2x + 3, h (x) = 3x + 4 for x E R find (i) fo(goh) (ii) (fog)oh.
If f:
RR, :R → R are defined by f(x) = 2x – 3, 8(x) = x° +5, then find (fog)(x).
If f = {(1,3), (2,5),(3,7)}, 8 = {(3,7),(5,9).(7,10)), then find gof.
7.
8.
9.
10.
Given f(x) = x +2, g(x) = 3x – 1, h(x) = 2x for xe R show that ho(gof) = (hog)of .
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