StormeeJ696783 StormeeJ696783
  • 25-10-2022
  • Mathematics
contestada

Given f(x), find g(x) and h(x) such that f(x)= g(h(x)) and neither g(x) nor h(x) is solely x.

Given fx find gx and hx such that fx ghx and neither gx nor hx is solely x class=

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RateelL622815 RateelL622815
  • 25-10-2022

Given:

[tex]\begin{gathered} f(x)=g(h(x)) \\ f(x)=\sqrt[]{-4x^2-3}+2 \end{gathered}[/tex]

Solve :

[tex]g(h(x)=\sqrt[]{-4x^2-3}+2[/tex]

The function g(x) convert then x is equal to h(x) then:

[tex]\begin{gathered} h(x)=-4x^2 \\ g(x)=\sqrt[]{x-3}+2 \end{gathered}[/tex]

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