Question

find a formula for the inverse of the function
32 Fahrenheit =0C
f(x)9/5x+32Fahrenheit

Answer 1

cuold you format the question correctly ? if psble please take a screenshot of original question and attach

Answer 2

\(\large f(x) = \dfrac{9}{5}x + 32\)

Answer 3

basically this formula converts temperature in Celcius to Fahrenheit

Answer 4

you need to find the inverse to convert from Fahrenheit to Celcius

Answer 5

do you know how to find the inverse of a function ?

Answer 6

k
-32 5/9x=y

Answer 7

very good try!

Answer 8

\(\large f(x) = \dfrac{9}{5}x + 32\)

subtract 32 both sides :
\(\large f(x)-32 = \dfrac{9}{5}x \)

multiply both sides by 5/9 :
\(\large \dfrac{5}{9}(f(x)-32) = x \)

replace x and f(x) :
\(\large \dfrac{5}{9}(x-32) = f(x) \)

Answer 9

So the inverse funciton for converting Fahrenheit to Celcius is

\(\large f(x) = \dfrac{5}{9}(x-32) \)

Answer 10

plugin x=32 above to to convert 32 fahrenheit to celicius

Answer 11

so i plug in 32 for x and get 5/9

Answer 12

do you really get 5/9 when you plugin x=32 ?

Answer 13

o never mind 0

Answer 14

multiply everything by 5/9

Answer 15

\(\large f(x) = \dfrac{5}{9}(x-32)\)

plugin x=32 :
\(\large f(32) = \dfrac{5}{9}(32-32) = \dfrac{5}{9}(0) = 0\)

Answer 16

so the given statement is is indeed True :

32 Fahrenheit = 0 C

Answer 17

thanks

Answer 18

yw!