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Write the equation using function notation f(x). then find f(0)

2x^2 - 3y = 6

User Bolic
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1 Answer

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\quad \huge \quad \quad \boxed{ \tt \:Answer }


\qquad \tt \rightarrow \: f(0) = -2

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\large \tt Solution \: :


\qquad \tt \rightarrow \: 2 {x}^(2) - 3y = 6


\qquad \tt \rightarrow \: 3y + 6 = 2 {x}^(2)


\qquad \tt \rightarrow \: 3y = 2 {x}^(2) - 6


\qquad \tt \rightarrow \: y = \cfrac{2 {x}^(2) - 6 }{3}


\qquad \tt \rightarrow \: y = \cfrac{2 {}^{} }{3} {x}^(2) - 2

[ here, y can be replaced with f(x) because y is a function of x ]


\qquad \tt \rightarrow \: f(x) = \cfrac{2 {}^{} }{3} {x}^(2) - 2


\large\textsf{Find f(0):}


\qquad \tt \rightarrow \: f(0) = \cfrac{2 {}^{} }{3} {(0)}^(2) - 2


\qquad \tt \rightarrow \: f(0) = 0 - 2


\qquad \tt \rightarrow \: f(0) = - 2

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

User Enu
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