Question

Question

5°F - 32)

The function to convert Fahrenheit to Celsius is °C = (°F) =

The inverse function will

9

convert Celsius to Fahrenheit. What is the inverse function? Complete the explanation of how

determining this inverse is different than determining the previous inverses.

The inverse function is °F = -(°C)=

The F and °C (select) V need to be switched like the x and y did in the previous functions.

(select) degree measures, and because of the real-world relationship, switching them

(select) ✓ make sense.

Answer 1

Answer:

$F = \frac{9C + 32}{5}$

Step-by-step explanation:

Given

$C = \frac{(5F - 32)}{9}$

Required

Determine the inverse function

$C = \frac{(5F - 32)}{9}$

Make F the subject of formula:

Multiply through by 9

$9C = 5F - 32$

Add 32 to both sides

$9C + 32= 5F$

Divide through by 5

$\frac{9C + 32}{5}= F$

$F = \frac{9C + 32}{5}$