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[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

  • f (x) = 3x² + x
  • Find f (-5).

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Given,

  • f (x) = 3x² + x

Now, we have to find f (-5). To find this, we just need to substitute -5 in the place of x.

So,

[tex] \sf \: f(x) = {3x}^{2} + x \\ \\ \sf \: \: Substitute \: x \: as \: - 5. \\ \\ \sf \:f( - 5) = 3( - 5) ^{2} + ( - 5) \\ \\ \sf \:Calculate \: -5 \: to \: the \: power \: of \: 2 \: and \: get \: 25. \\ \\\sf \: 3\times 25+5 \\ \\ \sf \:Multiply \: 3 \: and \: 25 \: to \: get \: 75. \\ \\\sf \: 75+5 \\ \\\sf \:Add \: 75 \: and \: 5 \: to \: get \: 80. \\ \\ = \boxed{\boxed{ \bf \: 80}}[/tex]

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