1.

Find gof and fog if 1:R → R and g: R → R are given by f(x) = cosx and g(x) = 3x2 show that gof ≠ fog.

Answer»

f(x) = cosx 

g(x) = 3x2 

gof(x) = g[f(x)] 

= g[cosx] 

= 3cos2

fog(x) = f[g(x)] 

= f[3x2

= cos3x

fog ≠ gof



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