Question

найти y (½)если y=(x²-1)²​

Answer 1

Ответ:

$\dfrac{9}{16}$

Объяснение:

$y=(x^{2}-1)^{2}, \quad x=\dfrac{1}{2} \Rightarrow y \bigg (\dfrac{1}{2} \bigg )=\bigg (\bigg (\dfrac{1}{2} \bigg )^{2}-1 \bigg )^{2}=\bigg (\dfrac{1}{4}-1 \bigg )^{2}=\bigg (-\dfrac{3}{4} \bigg )^{2}=$

$=(-1)^{2} \cdot \bigg (\dfrac{3}{4} \bigg )^{2}=1 \cdot \dfrac{3^{2}}{4^{2}}=\dfrac{9}{16};$

$y \bigg (\dfrac{1}{2} \bigg )=\dfrac{9}{16};$