The formula below represents Celsius temperature C as a function of Fahrenheit temperature F. C (F) = 5/9 (F - 32), where F greaterthanorequalto -459.6
(a) Find the inverse function of C.
(b) What does the inverse function of C represent?
A. The inverse represents the temperature F corresponding to a temperature C.
B. The inverse represents the temperature 1/C corresponding to a temperature C.
C. The inverse represents the temperature 1/F corresponding to a temperature C.
D. The inverse represents the temperature C corresponding to a temperature F.
(c) Determine the domain of the inverse function.
a. all real numbers
b. C greaterthanorequalto 0
c. C lessthanorequalto -273.1
d. C greaterthanorequalto -273.1
(d) If the temperature is 90 degree C, what is the corresponding temperature in degrees Fahrenheit?

The inverse represents the temperature F corresponding to a temperature C.

The domain of the inverse function is all real numbers.

194°F

Step-by-step explanation:

Let C= y

y= 5/9 (F - 32),

F= 9/5y + 32

But y= C, hence;

F= 9/5 C +32

The inverse represents the temperature F corresponding to a temperature C.

Given;

F= 9/5 C +32

The domain of the inverse function is all real numbers.

Given C= 90°

F= 9/5 C +32

F= 9/5 (90°) +32

F= 194°F

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

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