Question

Va rog e urgent am nevoie de raspuns

Answer 1

Answer: 4

Step-by-step explanation:

f(x) = 2x - 1

f(√2) = 2√2 - 1

f(1) = 2(1) - 1

= 2 - 1

= 1

f(√3) = 2√3 - 1

*******************************************************

`(f(√(2))-f(1))/(√(2)-1) +(f(√(3))-f(√(2)))/(√(3)-√(2))`

=
`((2√(2)-1)-1)/(√(2)-1) +((2√(3)-1)-(2√(2)-1))/(√(3)-√(2))`

=
`(2√(2)-2)/(√(2)-1) +(2√(3)-2√(2))/(√(3)-√(2))`

=
`(2√(2)-2)/(√(2)-1)((√(2)+1)/(√(2)+1))+(2√(3)-2√(2))/(√(3)-√(2))((√(3)+√(2))/(√(3)+√(2)))`

=
`(4+2√(2)-2√(2)-2)/(2 - 1) + (6 +2√(6)-2√(6)-4)/(3-2)`

=
`(2)/(1) +(2)/(1)`

= 4