Question

Considere a seguinte função do 2° grau: f(x) = +2x^ +5x -1 . Determine:

a) f(-1) + f(0) =

B) f(+1/2) =

Answer 1

$2x^{(5x - 1)}$

A) $f( - 1)$ será:
$2x^{(5( - 1) - 1)}$
$2x^{(- 5 - 1)}$
$2x^{- 6}$
$(\frac{1}{2x})^{6}$
$(\frac{1}{2(- 1)})^{6}$
$(- \frac{1}{2})^{6}$ = $\frac{1}{64}$

$f(0)$ será:
$2x^{(5(0) - 1)$
$2x^{(0 - 1)$
$2x^{- 1}$
$(\frac{1}{2x})$
$\frac{1}{2(0)}$
$\frac{1}{0}$ = ∞

Ou seja: $f(- 1) + f(0) =$ ∞


B) $f(\frac{1}{2})$
$2x^{(5(\frac{1}{2}) - 1)$
$2x^{(\frac{5}{2} - 1)$
$2x^{(\frac{5}{2} - \frac{2}{2})$
$2x^{\frac{3}{2}}$
$[2(\frac{1}{2})]^{\frac{3}{2}}$
$\frac{2}{2}^{\frac{3}{2}}$
$1^{\frac{3}{2}}$
$\sqrt{(1)^{3}}$
$\sqrt{1}$ = $1$