Let g(x)=x^2+x. Find formulas for the following functions. g(squareroot x)

Question

g(x)=x²+x.

 

g(√x)

 

Answer 1

What the question is asking is to replace the x in g(x) with √x. 

 

Therefore, g(√x) = (√x)² + √x.  Therefore, g(√x) = x + √x.