Question

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

2x^2 - 3y = 6

Answer 1

`\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 ❞