GarangB367630 GarangB367630
  • 30-10-2022
  • Mathematics
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Given that h(x) = f(g(x)) =[tex] \sqrt{x + 2} [/tex] find f(x)and g(x)

Given that hx fgx tex sqrtx 2 tex find fxand gx class=

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CypressE707057 CypressE707057
  • 30-10-2022
[tex]h(x)=f(g(x))=\sqrt[]{X+2}[/tex]

Composition of functions:

[tex]\begin{gathered} f(x)=x \\ g(x)=a \\ \\ f(g(x))=g(x)=a \\ \\ \\ \\ \\ \\ \\ Given\colon \\ f(g(x))=\sqrt[]{x+2} \\ \\ f(g(x))=\sqrt[]{g(x)} \\ \\ \text{Then, g(x) is} \\ g\mleft(x\mright)=x+2 \\ \\ \text{And f(x) is} \\ f(x)=\sqrt[]{x} \end{gathered}[/tex]

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