this should be easy but it hasnt really hit me...
why if f(x)= ax+b
does f(x+h) = a(x+h)+b
why if f(x)= ax+b
does f(x+h) = a(x+h)+b
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When you say f(x) what you are really saying is "function of something". The x in f(x) can be ANYTHING.
For example if f(x)=x+5, then f(obama) = obama +5 lol.
Therefore if f(x) = ax+b,
then f(x+h) = a(x+h) + b!
This is fundamental to the definition of the derivative which is:
the limit of (f(x+h)-f(x))/h as h apporaches zero.
Good luck in calc!
For example if f(x)=x+5, then f(obama) = obama +5 lol.
Therefore if f(x) = ax+b,
then f(x+h) = a(x+h) + b!
This is fundamental to the definition of the derivative which is:
the limit of (f(x+h)-f(x))/h as h apporaches zero.
Good luck in calc!