1. Tardigrade
  2. Question
  3. Mathematics
  4. Two functions f(x) and g(x) are defined as f(x)= log 3|(x-2/x2-10 x+24)| and g(x)= sin - 1((2[x]-3/15)) then find the number of even integers for which ( f ( x )+ g ( x )) is defined. [Note: [k] denotes greatest integer less than or equal to k.]

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Two functions $f(x)$ and $g(x)$ are defined as $f(x)=\log _3\left|\frac{x-2}{x^2-10 x+24}\right|$ and $g(x)=\sin ^{-}$ $1\left(\frac{2[x]-3}{15}\right)$ then find the number of even integers for which $( f ( x )+ g ( x ))$ is defined.
[Note : [k] denotes greatest integer less than or equal to $k$.]

Inverse Trigonometric Functions

Solution:

Domain $=[-6,10)-\{2,4,6\}$
$\therefore$ Even integers in the domain are $-6,-4,-2,0,8$