Question

Dada a função g(x) = x² + 5x + 3, calcule:

a) g(-1)

b) g(-5)

c) g(✓2)

d) g(0)

e) g(2/3)

f) g(5)​

Answer 1

Resposta:

                                          $g(x) = x^{2} + 5x + 3$

 $a) g(-1) =$ $-1^{2} +5.(-1)+3$

    $g(-1)=-1-5+3\\g(-1) = -6+3\\g(-1) = -3$

$b) g(-5) = -5^{2} +5.(-5)+3$

 $g(-5) = -25-25+3\\g(-5) = -50+3\\g(-5) =-47$

$c) g(\sqrt{2} ) =(\sqrt{2} )^{2} +5.\sqrt{2} +3$

  $g(\sqrt{2}) = 2+5\sqrt{2}+3\\g(\sqrt{2}) = 8\sqrt{2}$

$d) g(0) = 0^{2} +5 . 0+3\\d) g(0) = 0 + 0 + 3\\d) g(0) = 3$

$e) g(\frac{2}{3} ) = (\frac{2}{3} )^{2} +5 . (\frac{2}{3} )^{2}+3\\\\ g(\frac{2}{3} ) = \frac{4}{9} +\frac{20}{9} +3\\\\e) g(\frac{2}{3} ) = \frac{24}{9} + 3\\\\e) g(\frac{2}{3} ) = \frac{27}{9}$

$f) g(5) = 5^{2} +5.5+3\\f) g(5) = 25 + 25 + 3\\f) g(5) = 50 +3\\f) g(5) = 53$