On this one which you answered for me before, could you do the step by steps so I can learn it better?

Evaluate the function g(x)= √x^2+1 at each specified value of the independent variable, and simplify.

a). g(-1)

b. g(3)

c. g(3x)
thanks, Maria

2 answers

g(x)= √(x^2+1)
The x is just a place holder. You can replace it with whatever value you want, as long as every x is replaced

g(-1) = √((-1)^2+1) = √(1+1) = √2
g(3) = √(3^2+1) = √(9+1) = √10
g(3x) = √((3x)^2 +1) = √(9x^2 + 1)

g(2x-3) = √((2x-3)^2 + 1) = √(4x^2-6x+9 + 1) = √(4x^2-6x+10)
and so on
love you!