Question

1.Dadas as funções f(x)=8x -4 e g(x)=2x²+5 ,determine:
A)F(g (x) ) B)(F•F) (x)

C)(G•g) (x). D)(g•g) (x)​

Answer 1

f(x) = 8x - 4

g(x) = 2x² + 5

a)

f(g(x)) = 8(2x² + 5) - 4

f(g(x)) = 16x² + 40 - 4

f(g(x)) = 16x² + 36

b)

(fof)(x) = 8(8x - 4) - 4

(fof)(x) = 64x - 32 - 4

(fof)(x) = 64x - 36

c)

(gog)(x) = 2(2x² + 5)² + 5

(gog)(x) = 2(4x⁴ + 20x² + 25) + 5

(gog)(x) = 8x⁴ + 40x² + 50 + 5

(gog)(x) = 8x⁴ + 40x² + 55

d)

(gog)(x) = 2(2x² + 5)² + 5

(gog)(x) = 2(4x⁴ + 20x² + 25) + 5

(gog)(x) = 8x⁴ + 40x² + 50 + 5

(gog)(x) = 8x⁴ + 40x² + 55