Question

9) If f(x) = 2xsquare + 3, g(x) = 5x – 2, then find
(a) fºg
(b) gºf
(c) fof
(d) gºg​

Answer 1

Answer:

given ,

f(x)=2x^2+3,

g(x)=5x - 2

1) f°g=f(g(x))

=>f(5x-2)

=>2(5x-2)^2+3

=>50x^2-40x+11

2)g°f

=>g(2x^2+3)

=>5(2x^2+3)-2

=>10x^2+13

3)f°f

=>f(2x^2+3)

=>2(2x^2+3)^2+3

=>8x^4+24x^2+21

4)g°g

=>g(5x-2)

=>5(5x-2)-2

=>25x-12

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