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Multiply and Divide Functions

For each given pair of functions, multiply or divide as instructed. Be sure to show all the steps required to write your answer in simplest form.


f(x) = x - 4

g(x) = 3x + 6


f(5)+g(1)/f(6)-g(-2)

Verified Answer :

lukyo

Evaluate

\(\dfrac{f(5)+g(1)}{f(6)-g(-2)}\)

where \(f(x)=x-4\) and \(g(x)=3x+6\)

f(5) = 5 - 4 = 1

g(1) = 3 1 + 6 = 3 + 6 = 9

f(6) = 6 - 4 = 2

g(-2) = 3
(-2) + 6 = -6 + 6 = 0

So,

\(\dfrac{f(5)+g(1)}{f(6)-g(-2)}\\\\\\ =\dfrac{1+9}{2-0}\\\\\\ =\dfrac{10}{2}\)

\(=5\quad\longleftarrow\quad\textsf{this is the answer.}\)

I hope this helps. =)