1.

Find gof and fog when f: R → R and g: R → R is defined by f(x) = 2x + x2 and g(x) = x3

Answer»

Since, f:R → R and g:R → R

fog:R → R and gof:R → R

f(x) = 2x + x2 and g(x)=x3

Now, gof(x) = g(f (x)) =g(2x + x2)

gof (x)=(2x + x2)3 = x6 + 8x3 + 6x5 + 12x4

and fog(x)=f(g(x))= f(x3)

⇒ fog(x) = 2x3 + x6

So, gof(x) = x6 + 6x5 + 12x4 + 8x3 and fog(x) = 2x3 + x6



Discussion

No Comment Found