Question

ajutatima va rog muuult​

Answer 1

Explicație pas cu pas:

a)

$f(-4) = - {(-4)}^{2} + 3 = -16 + 3 = -13$

$f(- \sqrt{5}) = - {(- \sqrt{5} )}^{2} + 3 = - 5 + 3 = - 2$

$f \bigg(- \dfrac{2}{3} \bigg) = - {\bigg(- \dfrac{2}{3} \bigg)}^{2} + 3 = - \dfrac{4}{9} + 3 = \dfrac{27 - 4}{9} = \dfrac{23}{9}$

$f(0) = {0}^{2} + 2 = 2$

$f(1) = {1}^{2} + 2 = 1 + 2 = 3$

$f(2.5) = {2.5}^{2} + 2 = 6.25 + 2 = 8.25$

$f(1 + \sqrt{2} ) = {(1 + \sqrt{2} )}^{2} + 2 = 1 + 2 + 2 \sqrt{2} + 2 = 5 + 2 \sqrt{2}$

b)

$Imf \cap \mathbb{R{/}Q} = \bigg\{-13;-2;2; \dfrac{23}{9} ;3;8,25\bigg\}$