Answer: -10.75 Celsius
Step-by-step explanation:
Here, A heated piece of metal cools according to the function,
[tex]c(x) = (.5)^x-7[/tex]
Where x represents the number of hours.
Again according to the question, A device is added that aids in cooling according to the function h(x) = -x - 2.
Therefore the resultant function, f(x) = c(x)+h(x)
Thus, [tex]f(x)=(.5)^x - 7 - x- 2[/tex]
⇒[tex]f(x)=(.5)^x - x -9[/tex], where x is the number of hours.
After two hours, x=2
[tex]f(2)= (.5)^2 - 2 -9[/tex]
⇒[tex]f(2)= (.5)^2 - 11[/tex]
⇒f(2)= -10.75 Celsius
