Question

Det. coorsonatele punctelor denintersectie al Gf f(x) =2x-1 si g(x) =2-x. ​

Answer 1

Răspuns:

Explicație pas cu pas:

f,g : R --R ;   f(x) =2x-1 si g(x) =2-x. ​

∩ Ox <=> f(x) = 0 <=> 2x-1 = 0 => 2x = 1 => x = 1/2 => A (1/2 ; 0)

∩ Oy <=> x = 0 => f(0) = 2·0-1 = -1  => B (0 ; -1)

∩ Ox <=> g(x) = 0 => 2-x = 0 => x = 2 => C (2 ; 0)

∩ Oy <=> x = 0 => g(0) = 2-0 = 2  => D (0 ; 2)

Punctul de intersectie al celor doua grafice <=> f(x) = g(x) =>

2x-1 = 2-x  => 3x = 3 => x = 1

f(1) = 2-1 = 1  ; g(1) = 2-1 = 1

=> E (1 ; 1)