Question

If
f(x) = x² +4 .
Find
f(x+1) - f (x-1)​

Answer 1

Answer:

Value of f(x+1) - f(x-1) = 4x

Step-by-step explanation:

Given $\boxed { \blue { f(x) = x^{2} + 4}}$

Value of f(x+1) - f(x-1)

= [(x+1)²+4] - [ (x-1)² +4]

= (x+1)² + 4 - (x-1)² - 4

= (x+1)² - (x-1)²

= 4×x×1

$\boxed { \pink { since ,(a+b)^{2}-(a-b)^{2}=4ab}}$

= 4x

Therefore.,

f(x+1) - f(x-1) = 4x

•••♪