SOLUTION: I'm having some trouble with the following functions: Evaluate the function f(x) = 7|x + 4| at the indicated values f(x + 1)=? f(x^2 + 2)=? thanks!

Algebra ->  Equations -> SOLUTION: I'm having some trouble with the following functions: Evaluate the function f(x) = 7|x + 4| at the indicated values f(x + 1)=? f(x^2 + 2)=? thanks!       Log On


   

Question 197696: I'm having some trouble with the following functions:
Evaluate the function f(x) = 7|x + 4| at the indicated values
f(x + 1)=?

f(x^2 + 2)=?
thanks!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a)

f%28x%29+=+7%2Aabs%28x+%2B+4%29 Start with the given function.


f%28x%2B1%29+=+7%2Aabs%28x%2B1+%2B+4%29 Replace every "x" with "x+1"


f%28x%2B1%29+=+7%2Aabs%28x%2B5%29 Combine like terms.


--------------------------------------------


b)

f%28x%29+=+7%2Aabs%28x+%2B+4%29 Start with the given function.


f%28x%5E2%2B2%29+=+7%2Aabs%28x%5E2%2B2+%2B+4%29 Replace every "x" with x%5E2%2B2


f%28x%5E2%2B2%29+=+7%2Aabs%28x%5E2%2B6%29 Combine like terms.