Question

Aflati valorile lui m apartine R , pt care punctele A apartin GF
b)f(x)=-3x+5m, A(2m,-m);
c)f(x)=m/3 ori x-1, A(1/2,m);
d)f(x)=-x+m,A(M,M);

Answer 1

Explicație pas cu pas:

b)

$f(x) = - 3x + 5m, A(2m,-m) \\ f(2m) = - m \\ - 3 \times 2m + 5m = - m \\ - 6m + 5m = - m = > - m = - m$

=> m ∈ R

c)

$f(x) = \frac{m}{3}x - 1, A\left( \frac{1}{2} ,m\right) \\ f\left( \frac{1}{2}\right) = m \\ \frac{m}{3} \times \frac{1}{2} - 1 = m \\ m - 6 = 6m \\ 5m = - 6 = > m = - \frac{6}{5}$

d)

$f(x) = - x + m,A(m,m) \\ f(m) = m \\ - m + m = m = > m = 0$