Question

The temperature in degrees Fahrenheit, F, is given by the equation. g(C) = 9/5 c + 32 Where C is the temperatue in degrees Celcius. Find a formula for g^-1 (C). After Evaluate and interpret g(33) and g^-1(33).

Answer 1

Answer:0.56 Use bing AI

Step-by-step explanation:The formula for converting Celsius to Fahrenheit is given by the equation:

F = (9/5)C + 32

To find the inverse of this function, we need to solve for C in terms of F:

F = (9/5)C + 32

Subtracting 32 from both sides, we get:

F - 32 = (9/5)C

Multiplying both sides by 5/9, we get:

(5/9)(F - 32) = C

Therefore, the formula for g^-1 © is:

g^-1 © = (5/9)(F - 32)

Now, let’s evaluate g(33):

g(33) = (9/5)(33) + 32 = 91.4°F

This means that the temperature of 33°C is equivalent to 91.4°F.

Next, let’s evaluate g^-1(33):

g^-1(33) = (5/9)(33 - 32) = 5/9°F

This means that the temperature of 33°F is equivalent to 0.56°C.