If f(x)=x^2-3x show that f(a+3)=f(-a)
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Solution
Given :-
- f(x) = x² - 3x .________(1)
Find :-
- f(a+3) = f(-a)
Explanation
First , calculate f(a+3)
Keep x = a + 3 in equ(1)
➡f(a+3) = (a+3)² - 3(a+3)
➡f(a+3) = a² + 9 + 6a - 3a - 9
➡f(a+3) = a² + 3a _________(2)
Again, calculate f(-a)
Keep x = -a in equ(1)
➡f(-a) = (-a)² - 3 × -a
➡f(-a) = a² + 3a__________(3)
Since,
From equ(2) & equ(3)
- f(a+3) = f(-a)
That's Proved.
_______________
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