Sean las funciones:
f(x)= √(4-x^2 ) y g(x) √(x^2-4)
Hallar el valor de f[g(2)]
f(x)= √(4-x^2 ) y g(x) √(x^2-4)
Hallar el valor de f[g(2)]
Vryox
![f(x)= \sqrt{4- x^{2} } \\ g(x)= \sqrt{ x^{2} -4} \\ f[g(2)]=f( \sqrt{ 2^{2} -4})=f(0)=\sqrt{4- 0^{2} }= \sqrt{4} =2](https://tex.z-dn.net/?f=f%28x%29%3D+%5Csqrt%7B4-+x%5E%7B2%7D+%7D+%5C%5C+g%28x%29%3D+%5Csqrt%7B+x%5E%7B2%7D+-4%7D+%5C%5C+f%5Bg%282%29%5D%3Df%28+%5Csqrt%7B+2%5E%7B2%7D+-4%7D%29%3Df%280%29%3D%5Csqrt%7B4-+0%5E%7B2%7D+%7D%3D+%5Csqrt%7B4%7D+%3D2 "f(x)= \sqrt{4- x^{2} } \\ g(x)= \sqrt{ x^{2} -4} \\ f[g(2)]=f( \sqrt{ 2^{2} -4})=f(0)=\sqrt{4- 0^{2} }= \sqrt{4} =2")
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