The domain of the function f(x){ = ^{16 - x}} | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(a) For $f(x)$ to be defined
$(i)$ $16 - x > 0 \Rightarrow x < 16$

$(ii)$ $2x - 1 \ge 0 \Rightarrow x \ge \frac{1}{2}$
$(iii)$ $20 - 3x &gt

Vedclass · Accepted Answer

{$2, 3$}

Vedclass · Answer

(a) For $f(x)$ to be defined $(i)$ $16 - x > 0 \Rightarrow x < 16$ $(ii)$ $2x - 1 \ge 0 \Rightarrow x \ge \frac{1}{2}$ $(iii)$ $20 - 3x > 0 \Rightarrow x < \frac{{20}}{3}$ $(iv)$ $4x - 5 \ge 0 \Rightarrow x \ge \frac{5}{4}$ $(v)$ $16 - x \ge 2x - 1 \Rightarrow x \le \frac{{17}}{3}$ $(vi)$ $20 - 3x \ge 4x - 5 \Rightarrow x \le \frac{{25}}{7}$ $(vii)$ $16 - x$ is an integer, ? x should be an integer $ herefore$ $\frac{5}{4} \le x \le \frac{{25}}{7}$ and $x \in I$ ==> $x = 2,\,3$ $ herefore$ Domain of $f = \{ 2,\,\,3\} $.

The domain of the function $f(x){ = ^{16 - x}}{\kern 1pt} {C_{2x - 1}}{ + ^{20 - 3x}}{\kern 1pt} {P_{4x - 5}}$, where the symbols have their usual meanings, is the set

Similar Questions

The number of one-one function $f :\{ a , b , c , d \} \rightarrow$ $\{0,1,2, \ldots ., 10\}$ such that $2 f(a)-f(b)+3 f(c)+$ $f ( d )=0$ is

If $f(x) = \frac{{{{\cos }^2}x + {{\sin }^4}x}}{{{{\sin }^2}x + {{\cos }^4}x}}$ for $x \in R$, then $f(2002) = $

Which of the following function is surjective but not injective

The range of the function $f(x){ = ^{7 - x}}{\kern 1pt} {P_{x - 3}}$ is

Let $R$ be the set of all real numbers and $f(x)=\sin ^{10} x\left(\cos ^8 x+\cos ^4 x+\cos ^2 x+1\right)$ $x \in R$. Let $S=\{\lambda \in R$ there exists a point $c \in(0,2 \pi)$ with $\left.f^{\prime}(c)=\lambda f(c)\right\}$ Then,