Question

- Se f(x)=5x+1 e h(x)=1+4x, calcule f(h(4))+h(f(4)).

Answer 1

- Se f(x)=5x+1 e h(x)=1+4x, calcule f(h(4))+h(f(4))

h(4)=1+4.(4)=16+1=17

f(4)=5.(4)+1=20+1=21


f(h(4))+h(f(4))=5.(17)+1+1+4.(21)

f(h(4))+h(f(4))=85+1+1+84


f(h(4))+h(f(4))=87+84

f(h(4))+h(f(4))=80+80+7+8

f(h(4))+h(f(4))=160+15

f(h(4))+h(f(4))=175

espero ter ajudado!

boa tarde!

Answer 2

Resposta:

161

Explicação passo-a-passo:

f(x)=5x+1 e h(x)=1+4x, calcule f(h(4))+h(f(4)).

f[h(x)] = 5.(1+4x) + 1

f[h(x)] = 5 + 20x - 1

f[h(x)] = 20x - 4

f[h(4)] = 20.4 - 4

f[h(4)] = 80 - 4

f[h(4)] = 76

h[f(x)] = 1 + 4.(5x + 1)

h[f(x)] = 1 + 20x + 4

h[f(x)] = 20x + 5

h[f(4)] = 20.4 + 5

h[f(4)] = 85

= f[h(4)] + h[f(4))]

= 76+85

= 161

R.: 161