Question

dau coroana va rog urgent​

Answer 1

Explicație pas cu pas:

f(x) = ax + b la functii de gradul I

a) f(1) inlocuim x cu 1 deci a*1 + b = 3

f(0) = 2 => a*0 + b = 2 => b = 2

a + b = 3 => a = 1  deci f(x) = 1*x + 2 = x + 2

b) a+b =2    -2a + b = -7  le scadem => 3a = 9 => a =3

a+ b = 2 => b = -1    f(x) = 3x -1

c) 2/5 a + b = 0      b= 2    =>  2/5 a = -2 => a/5 = -1  => a = -5

f(x) = -5x + 2

d) rad2 a + b = 2 - rad3       rad6 a + b = rad3  le scadem =>

rad2 a - rad6 a  = 2 - 2 rad3

rad2 a ( 1 - rad3) = 2 ( 1 - rad3)   impartim cu 1 - rad3

rad2 a = 2 => a = 2 / rad2 = 2 rad2 / 2 = rad 2 => a = rad2

rad6 a + b = rad3 => rad6 * rad2 + b = rad3

rad12 + b = rad 3 => 2 rad3 + b = rad3 => b = -rad3

f(x) = rad2 x - rad3

e) -0,1(6) = (16 - 1) / 90 = 15/90 = 1/6

f(1/6) = 2/3 => a/6 + b = 2/3  inmultim cu 6

a + 6b = 4

f(-1) = -1 => -a + b = -1   le adunam

7b = 3 =>  b=3/7

-a + 3/7 = -1 = -7/7 => -a = -7/7  - 3/7 = -10/7 => a = 10/7

f(x) = 10/7 x + 3/7