1. Tardigrade
  2. Question
  3. Mathematics
  4. If f(x)=4x-x2, x ∈ R, then f (a+1)-f (a-1) is equal to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If $f\left(x\right)=4x-x^{2}, x \in R$, then $f (a+1)-f (a-1)$ is equal to

Relations and Functions

Solution:

$f \left(a+1\right)-f \left(a-1\right)$
$=\left[4\left(a+1\right)-\left(a+1\right)^{2}\right]-\left[4\left(a-1\right)-\left(a-1\right)^{2}\right]$
$=8-4a=4\left(2-a\right)$.