Question

Find Domain..

f (x) =4–3tan x where -π/4 ≤ x ≤ π/4​

Answer 1

Answer:

[7,1]

Step-by-step explanation:

Given that,    $-\frac{\pi}{4}\leq x \leq \frac{\pi}{4}$

                     Applying tan :-

            =>  $tan(-\frac{\pi}{4}) \leq tan( x) \leq tan(\frac{\pi}{4})$

            =>  $-1\leq tan x \leq 1$

            =>  $1\geq -tanx\geq -1$

            =>  $3\geq -3tanx\geq -3$

            =>  $4+3\geq 4-3tanx\geq4 -3$

            =>  $7\geq f(x) \geq 1$

Therefore, f(x) ∈ [7,1] : DOMAIN