For a)
[tex]f(x)=\sqrt[]{x}[/tex]
In this case, we have a shift up by 4 and a shift to right by 2 units
For the shift up we need to add 4 to the function
For the shift to the right, we need to subtract 2 to the x
b) the equation for g is
[tex]g(x)=\sqrt{x-2}+4[/tex]
c)
the domain is the set of all the possible values x can have
In this case
[tex]\: \lbrack2,\: \infty\: )[/tex]
the range is the set of all possible values that the function can have
In this case
[tex]\: \lbrack4,\: \infty\: )[/tex]
d)
[tex]f(x)=\sqrt[]{x}[/tex]
[tex]\sqrt[]{x}=7[/tex]
We isolate the x
[tex]x=7^2=49[/tex]
Also, it can be observed in the graph looking for the value of x when f(x)=7
