The domain and range of a real valued functio | vedclass

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

Question

(B) The function is $f(x) = \cos x - 3$. Since $\cos x$ is defined for all real numbers,the domain of $f(x)$ is $R$. We know that the range of $\cos x

Vedclass · Accepted Answer

$R$ and $[-4, -2]$

Vedclass · Answer

(B) The function is $f(x) = \cos x - 3$. Since $\cos x$ is defined for all real numbers,the domain of $f(x)$ is $R$. We know that the range of $\cos x$ is $[-1, 1]$. So,$-1 \leq \cos x \leq 1$. Subtracting $3$ from all parts,we get: $-1 - 3 \leq \cos x - 3 \leq 1 - 3$. $-4 \leq f(x) \leq -2$. Thus,the range is $[-4, -2]$. Therefore,the domain is $R$ and the range is $[-4, -2]$.

The domain and range of a real valued function $f(x) = \cos x - 3$ are respectively.

Similar Questions

The domain of the function $f(x) = \sqrt{\cos x}$ is

The range of $f(x) = \frac{x^2 + 34x - 71}{x^2 + 2x - 7}$ is

The domain of $f(x) = \log \left[(2.5)^{3-x^2} - (0.4)^{x+9}\right]$ is

Find the domain of the real-valued function $f(x) = ([x]^2 - [x] - 2)^{-1/2}$,where $[\cdot]$ denotes the greatest integer function.

Find the domain of the function $f(x) = \frac{x^{2}+3x+5}{x^{2}-5x+4}$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module