Question

So, I really need help with functional notation...If anyone could help me solve these problems, I'd be extremely grateful!!

Given the function G ( x ) =sqrt 2x-1 , find the value G (1), G(0), G(5), G(-4).
Given the function F ( x ) = x^2 - 3 x + 1, find the value F (-3), F(0), F(1).
Given the function H ( x ) = 3 x - 1, find the value H (2).

Answer 1

`g(x)=√(2x-1)`

`g(1)=√(2(1)-1)=√(2-1)=√(1)=1`

`g(0)=√(2(0)-1)=√(0-1)=√(-1)=i`

`g(5)=√(2(5)-1)=√(10-1)=√(9)=3`

`g(-4)=√(2(-4)-1)=√(-8-1)=√(-7)=i√(7)`


`f(x)=x^(2)-3x+1`

`f(-3)=-3^(2)-3(-3)+1=9-(-9)+1=19`

`f(0)=0^(2)-3(0)+1=1`

`f(1)=1^(2)-3(1)+1=-1`


`h(x)=3x-1`

`h(2)=3(2)-1=5`