Let f(x)=2xt2. Solve f^-1 (x) when x=4

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30-01-2017
Mathematics

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Let f(x)=2xt2. Solve f^-1 (x) when x=4

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makaylatellez makaylatellez · Answer 1 · 2017-02-01T22:25:12+01:00

Replace fx" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; font-size: 18.08px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">f(x)fx with y" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; font-size: 18.08px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">yy.4⁢x-12" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; font-size: 18.08px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">4x−124⁢x-12Interchange the variables.x=4⁢y-12" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; font-size: 18.08px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">x=4y−12x=4⁢y-12Solve for y" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; font-size: 18.08px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">yy.Tap for more steps...y=3+x4" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; font-size: 18.08px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">y=3+x4y=3+x4Solve for y" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; font-size: 18.08px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">yy and replace with f-1⁢x" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; font-size: 18.08px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">f−1(x)f-1⁢x.f-1⁢x=3+x4" role="presentation" style="outline: 0px; display: inline-block; line-height: 0; font-size: 18.08px; word-wrap: normal; word-spacing: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px; position: relative;">f−1(x)=3+x4f−1(x)=3+x4