Question #9f025

1 Answer
Nov 21, 2017

Assuming your question is #f(x) = -x / 3 +2 # and required to find # f(1) / f(3) #

Explanation:

The answer is #5/3#

We have,

#f(x) = -x / 3 +2 #

Now to find #f(1) / f(3) # , we find values of #f(1)# and #f(3)#

For finding the value of #f(1) #

Take,
#f(x) = -x / 3 +2 # (according to the question)

Now, replace the #'x'# with 1 for #f(1)#

Then,
#f(1) = -1 / 3 +2 #
#or, f(1) = 5 / 3 # (from calculations)

Similarly for #f(3) #

Now, replace the #'x'# with 3 for #f(3)#
Then,
#f(3) = -3 / 3 +2 #
#or, f(3) = 1# (from calculations)

Hence,

We have the values for #f(1) and f(3)# as #5/3 and 1# respectively

Now,

#f(1)/f(3) = "5/3"/ 1# (keeping the values of #f(1) and f(3)#

We get,

#f(1)/f(3) = 5/3 #

Which is your answer.