How can I find this function?

3 ⤊

For every real number x, we have:
f(x)+f(x+1)=2x+3 and f(2)=3. Find f(1).

2007-02-28 04:52:43 · 3 answers · asked by Crystal 3 in Science & Mathematics ➔ Mathematics

For any x, f(x) + f(x+1) = 2x+3

So if x=1,

f(1) + f(1+1) = 2*1 + 3
f(1) + f(2) = 2 + 3 = 5
f(1) + 3 = 5
f(1) = 5 - 3
f(1) = 2

2007-02-28 04:58:28 · answer #1 · answered by Michael C 3 · 3⤊ 0⤋

Let x = 1:-
f(1) + f(2) = 5
f(1) + 3 = 5
f(1) = 2

2007-02-28 13:36:29 · answer #2 · answered by Como 7 · 0⤊ 0⤋

f(x) + 3 = 2x+ 3
f(x) = 2x
f(1) = 2

2007-02-28 13:03:09 · answer #3 · answered by Blue Moon 3 · 0⤊ 0⤋