We are working through the kindergarten level and Ivan is keeping pace with Hannah He loves to sit down and learn his letters right along with her, thoughClass 12 Maths Relations Functions Theorems Theorem 1 If f X → Y, g Y → Z and h Z → S are functions, then ho (gof ) = (hog) o f Numerical Consider f N → N, g N → N and h N → R defined as f (x) = 2x, g (y) = 3y 4 and h (z) = sin z, ∀ x, y and z in N Show that ho (gof ) = (hog) of Solution LHS = ho (gof ) = hoJan 28, · Example 27 Consider f {1, 2, 3} → {a, b, c} and g {a, b, c} → {apple, ball, cat} defined as f (1) = a, f (2) = b, f (3) = c, g(a) = apple, g(b) = ball and g(c) = cat Show that f, g and gof are invertible Find out f –1, g –1 and (gof) –1 and show that (gof) –1 = f –1 o g –1 Checking for f
A For Apple B For Ball C For Cat D For Dog E For Elephant Alphabet Letters For Children Learn Abcd Youtube
