Question

g(x)= x-√x+2
a) find the least value of x for which there is a real number value of f(x)
b) Sketch the graph using a suitable domain
c) Find the x intercept
d) Find the g(x) intercept

Answer 1

√x is real only if x ≥ 0
so the smallest value of x would be 0
there is no x intercept since the smallest value of g(x) = g(.25) = 1.75
g(x) intercept is g(0) = 2

Answer 2

What would the values be if g(x)=-2?