Find the value of k so that the point (-2,4) lies on the graph of the function g(x)=x*squareroot (x+k)* +6
well, just plug in x = -2 and set the result to 4:
x√(x+k) + 6 = y
(-2)√(-2+k) + 6 = 4
-2√(k-2) = -2
√(k-2) = 1
k=3
If you meant that second * operator, then fix the expression and follow the steps again.