seja a função f(x) =1/x2 determine o valor de: a)F(1/2) B) f.(√3)
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Resolução da questão, veja:
Letra ''A'':
![\mathsf{f(x) =\dfrac{1}{x^{2}}}~\to~\mathsf{f\bigg(\dfrac{1}{2}\bigg)}}}}\\\\\\\\ \mathsf{f\bigg(\dfrac{1}{2}\bigg)=\dfrac{1}{\bigg(\dfrac{1}{2}\bigg)^{2}}}}\\\\\\\\ \mathsf{f\bigg(\dfrac{1}{2}\bigg)=\dfrac{1}{\bigg(\dfrac{1}{4}\bigg)}}\\\\\\\\ \mathsf{f\bigg(\dfrac{1}{2}\bigg)=1~\cdot~\dfrac{4}{1}}}}}\\\\\\\\\ \Large\boxed{\boxed{\boxed{\mathbf{f\bigg(\dfrac{1}{2}\bigg)=4.}}}}}}}}}}}}}}}}}}~~\checkmark}}}}}}}}}} \mathsf{f(x) =\dfrac{1}{x^{2}}}~\to~\mathsf{f\bigg(\dfrac{1}{2}\bigg)}}}}\\\\\\\\ \mathsf{f\bigg(\dfrac{1}{2}\bigg)=\dfrac{1}{\bigg(\dfrac{1}{2}\bigg)^{2}}}}\\\\\\\\ \mathsf{f\bigg(\dfrac{1}{2}\bigg)=\dfrac{1}{\bigg(\dfrac{1}{4}\bigg)}}\\\\\\\\ \mathsf{f\bigg(\dfrac{1}{2}\bigg)=1~\cdot~\dfrac{4}{1}}}}}\\\\\\\\\ \Large\boxed{\boxed{\boxed{\mathbf{f\bigg(\dfrac{1}{2}\bigg)=4.}}}}}}}}}}}}}}}}}}~~\checkmark}}}}}}}}}}](https://tex.z-dn.net/?f=%5Cmathsf%7Bf%28x%29+%3D%5Cdfrac%7B1%7D%7Bx%5E%7B2%7D%7D%7D%7E%5Cto%7E%5Cmathsf%7Bf%5Cbigg%28%5Cdfrac%7B1%7D%7B2%7D%5Cbigg%29%7D%7D%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C+%5Cmathsf%7Bf%5Cbigg%28%5Cdfrac%7B1%7D%7B2%7D%5Cbigg%29%3D%5Cdfrac%7B1%7D%7B%5Cbigg%28%5Cdfrac%7B1%7D%7B2%7D%5Cbigg%29%5E%7B2%7D%7D%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C+%5Cmathsf%7Bf%5Cbigg%28%5Cdfrac%7B1%7D%7B2%7D%5Cbigg%29%3D%5Cdfrac%7B1%7D%7B%5Cbigg%28%5Cdfrac%7B1%7D%7B4%7D%5Cbigg%29%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C+%5Cmathsf%7Bf%5Cbigg%28%5Cdfrac%7B1%7D%7B2%7D%5Cbigg%29%3D1%7E%5Ccdot%7E%5Cdfrac%7B4%7D%7B1%7D%7D%7D%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C+%5CLarge%5Cboxed%7B%5Cboxed%7B%5Cboxed%7B%5Cmathbf%7Bf%5Cbigg%28%5Cdfrac%7B1%7D%7B2%7D%5Cbigg%29%3D4.%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7E%7E%5Ccheckmark%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D)
Letra ''B'':
![\mathsf{f(x) =\dfrac{1}{x^{2}}}~\to~\mathsf{f(\sqrt{3})}}}}\\\\\\\\ \mathsf{f(\sqrt{3})=\dfrac{1}{(\sqrt{3})^{2}}}}\\\\\\\\ \mathsf{f(\sqrt{3})=\dfrac{1}{\sqrt{9}}}\\\\\\\\\ \Large\boxed{\boxed{\boxed{\mathbf{f(\sqrt{3})=\dfrac{1}{3}}}}}}}}}}}}}}}~~\checkmark}}}}}}}}} \mathsf{f(x) =\dfrac{1}{x^{2}}}~\to~\mathsf{f(\sqrt{3})}}}}\\\\\\\\ \mathsf{f(\sqrt{3})=\dfrac{1}{(\sqrt{3})^{2}}}}\\\\\\\\ \mathsf{f(\sqrt{3})=\dfrac{1}{\sqrt{9}}}\\\\\\\\\ \Large\boxed{\boxed{\boxed{\mathbf{f(\sqrt{3})=\dfrac{1}{3}}}}}}}}}}}}}}}~~\checkmark}}}}}}}}}](https://tex.z-dn.net/?f=%5Cmathsf%7Bf%28x%29+%3D%5Cdfrac%7B1%7D%7Bx%5E%7B2%7D%7D%7D%7E%5Cto%7E%5Cmathsf%7Bf%28%5Csqrt%7B3%7D%29%7D%7D%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C+%5Cmathsf%7Bf%28%5Csqrt%7B3%7D%29%3D%5Cdfrac%7B1%7D%7B%28%5Csqrt%7B3%7D%29%5E%7B2%7D%7D%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C+%5Cmathsf%7Bf%28%5Csqrt%7B3%7D%29%3D%5Cdfrac%7B1%7D%7B%5Csqrt%7B9%7D%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5C+%5CLarge%5Cboxed%7B%5Cboxed%7B%5Cboxed%7B%5Cmathbf%7Bf%28%5Csqrt%7B3%7D%29%3D%5Cdfrac%7B1%7D%7B3%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7D%7E%7E%5Ccheckmark%7D%7D%7D%7D%7D%7D%7D%7D%7D)
Espero que te ajude. ^_^
Letra ''A'':
Letra ''B'':
Espero que te ajude. ^_^
RakelPayva:
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