Question

Suppose that the functions and are defined as follows.

u(x) = x^2 + 5
w(x) = \[\sqrt{x+3}\]
find the following
(w ° u)(1)
(u ° w)(1)

Answer 1

w(x^2 +5)=

\[(\sqrt{x+3})^{2} +5\]

Answer 2

(w ° u)(1) = x +8 = 9

Answer 3

correct

Answer 4

\[u (\sqrt{x+3}) =\]
\[\sqrt{x ^{2}+5+3} =2x \sqrt{2}\]

Answer 5

(u ° w )(1) = 2(1) sqroot(2)

Answer 6

right ?