daniela2913 daniela2913
  • 06-11-2019
  • Mathematics
contestada

let f(x)=(8x^4-3)^3 and g(x)=8x^4-3 given that f(x)=(h g)(x) , find h(x)

Respuesta :

sonu36 sonu36
  • 10-11-2019

Answer:

[tex]h(x) = x^{3}[/tex]

Step-by-step explanation:

[tex]f(x) = (8 \times x^{4}- 3)^{3}[/tex] ------------(1) (given)

[tex]g(x) =(8 \times x^{4}- 3)[/tex] -------------(2) (given)

so,

f(x) = h(g(x)) (given)

    = [tex](g(x))^{3}[/tex]-----(from (1) and (2))

⇒[tex]h(k) = k^{3}[/tex]-----(taking g(x) = k)

⇒[tex]h(x) = x^{3}[/tex] is the function.

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