For this case we have transformation of functions:
Reflection is the mirror image of a figure. It can also be defined as the turning of points and graphs around the axes.
So, we have:
To graph
, the graph of
is reflected on the y-axis. (Horizontal reflection)
If
, to obtain g (x) as a horizontal reflection, we evaluate

Thus:

Answer:

See attached image
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Step-by-step explanation:
(a○b)(x) is the same as a(b(x)).
it is really that simple.
first you calculate the result of the inner function, and then that result is the input for the outer function.
that's it.
so,
(w○u)(2) = w(u(2))
u(2) = -2 -1 = -3
w(-3) = 2×(-3)² + 1 = 2×9 + 1 = 19
so, 19 is the first answer.
(u○w)(2) = u(w(2))
w(2) = 2×2² + 1 = 2×4 + 1 = 9
u(9) = -9 - 1 = -10
so, -10 is the second answer.