Question

Dada a função f(x)= 4x²-1,
calcule:

A) F (3/2)

Answer 1

$f\left(x \right)=4x^{2}-1\\ \\ \\ f\left(\dfrac{3}{2} \right)=4\cdot \left(\dfrac{3}{2} \right)^{2}-1\\ \\ f\left(\dfrac{3}{2} \right)=4\cdot \dfrac{3^{2}}{2^{2}}-1\\ \\ f\left(\dfrac{3}{2} \right)=\diagup\!\!\!\! 4\cdot \dfrac{9}{\diagup\!\!\!\! 4}-1\\ \\ f\left(\dfrac{3}{2} \right)=9-1\\ \\ f\left(\dfrac{3}{2} \right)=8$