SOLUTION: Let the function f be defined by f(x)=2x-1. If 2f(a+1)=10, what is the value of f(2a)?

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Question 1088759: Let the function f be defined by f(x)=2x-1. If 2f(a+1)=10, what is the value of f(2a)?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since it's a linear function,
f%28a%2B1%29=f%28a%29%2Bf%281%29
2f%28a%2B1%29=2f%28a%29%2B2f%281%29
10=2f%28a%29%2B2%281%29
2f%28a%29=8
f%28a%29=4
So,
f%282a%29=f%28a%29%2Bf%28a%29
f%282a%29=4%2B4
f%282a%29=8