Question

Se considera functia f:R-R , f(x)=2x2(la a doua)-3x+5. Sa se m , pt care punctul A(m,5) apartine functiei f.
Trebuie inlocuit m si 5 in functie?

Answer 1

f(x) = 2x²-3x+5

A(m,5) ∈ Gf => f(m) = 5 => 2m²-3m+5 = 5 => 2m²-3m = 0 => m(2m-3)=0 =>


$\Rightarrow m_1 = 0,\quad\quad\quad m_2 = \frac{3}{2} \\ \\ \rightarrow m\in \{0, \frac{3}{2}\}$