The solution of the expression is
w (u (x)) = √9
u (w (x)) = 3²
How to find the expressions
The equation is solved as follow
Given that
u (x) = x² + 5
w (x) = √(x + 3)
First case: u (w (x))
w (u (x)) = √(x² + 5) + 3)
w (u (x)) = √(x² + 5 + 3)
w (u (x)) = √(x² + 8)
for x = 1
w (u (x)) = √9 = 3
Second case: w (u (x))
u (w (x)) = (√(x + 3))² + 5
u (w (x)) = x + 3 + 5
u (w (x)) = x + 8.
For x = 1
u (w (x)) = 9
u (w (x)) = 3²