If f and g are the functions whose graphs are shown, let u(x) = f(g(x)),
v(x) = g(f(x)), and w(x) = g(g(x)).
Find each derivative, if it exists. If it does not exist, explain why. (If an answer does not exist, enter DNE.)
Find u'(1), v'(1), w'(1)

answer: i think it is (1,-2)

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

c. 1,233 miles