We have

and

so the equation is indeed exact. So we want to find a function
such that


Integrating both sides of the first equation wrt
gives

Differentiating both sides wrt
gives

So we have

or

Answer: 28.33 Celsius and 301.483 Kelvin
83°F − 32) × 5/9 = 28.333°C
(83°F − 32) × 5/9 + 273.15 = 301.483K
To find the inverse of the function you can just exchange the name of the variables, change x for y and y for x..
original (direct) function: y = x^2 - 7
inverse function x = y^2 - 7
Then, the answer is the option c.
Answer: 38
Step-by-step explanation:
14 - 2xy
(substitute x and y)
14 - 2 (-6) (2)
14 + 24
38