Find the Linear Function f(x) that satisfies both of the following conditions

a: f(1)=3

b:f(X)= f(x+1)-2

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- May 2nd 2007, 07:36 AMGodfatherLinear Function
Find the Linear Function f(x) that satisfies both of the following conditions

a: f(1)=3

b:f(X)= f(x+1)-2 - May 2nd 2007, 08:06 AMcamherokid
f(x)= f(x+1)-2 so f(0)= f(0+1)-2= f(1)-2

but f(1)=3

so f(0)=3-2=1

we have two point on the line

f(0)=1, and f(1)=3

Linear function y=a*x+b

when f(0)=1 --> 1=a*0+b so b=1

when f(1)=3 --> 3=a*1+b so 3 = a+1

we got a=2

the linear function is y=2x +1