1. Tardigrade
  2. Question
  3. Mathematics
  4. Let f: R - -1,4 arrow R - α, β be a function given by f ( x )=( x 2+ bx + c / x 2-3 x -4). If number of ordered pairs ( b, c), where b, c ∈ -5,-4,-3, ldots ldots 3,4,5 for which f(x) is injective is n, then ind the value of (n-7).

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Q. Let $f : R -\{-1,4\} \rightarrow R -\{\alpha, \beta\}$ be a function given by $f ( x )=\frac{ x ^2+ bx + c }{ x ^2-3 x -4}$. If number of ordered pairs ( $b, c)$, where $b, c \in\{-5,-4,-3, \ldots \ldots 3,4,5\}$ for which $f(x)$ is injective is $n$, then ind the value of $(n-7)$.

Relations and Functions - Part 2

Solution:

Correct answer is '4'