5.7k views
5 votes
If f(x) = 3(x+5)+ 4/x what is f(a+2)

User Kirakun
by
4.8k points

1 Answer

2 votes

9514 1404 393

Answer:

f(a+2) = (3a^2 +27a +46)/(a+2)

Explanation:

Put (a+2) where x is and simplify.

f(a+2) = 3((a+2) +5) +4/(a+2)

f(a+2) = 3(a +7) +4/(a+2)

f(a+2) = 3a +21 +4/(a+2)

__

We can combine the terms to a single rational expression.

f(a+2) = ((3a +21)(a +2) +4)/(a+2) = (3a^2 +27a +42 +4)/(a+2)

f(a+2) = (3a^2 +27a +46)/(a+2)

User Rukletsov
by
5.2k points