Functions

If \([x]\) is greatest integer function and \(2[2 x-5]-1=7\), then \(x\) lies in

If \(f(x)=\frac{x}{2 x+1}\) and \(g(x)=\frac{x}{x+1}\), then \((f \circ g)(x)=\)

If \(f(x)=2\{x\}+5 x\), where \(\{x\}\) is fractional part function, then \(f(-1.4)\) is

Range of the function \(f(x)=3+2^x+4^x\) is

The domain of the function \(\log _{10}\left(x^2-5 x+6\right)\) is

The domain of the function \(f(x)=\sqrt{x-1}+\sqrt{6-x}\) is

If \(f(x)=[8 x]-3\), where \([x]\) is greatest integer function of \(x\), then \(f(\pi)=\) (where \(\pi=3,14\))

If f(x) = 3[x] + 5{x + 1}, where [x] is greatest integer function of x and {x} is fractional part function of x, then f(\(-\)1.32) =

The domain of the function \(f(x)=\frac{1}{\sqrt{x+|x|}}\) is

Let \(A=[a, b, c, d], B=[1,2,3]\). Relation \(R_1, R_2, R_3, R_4\) are as follows :
$$\begin{aligned}
& R_1=[(\mathrm{a}, 1),(\mathrm{b}, 2),(\mathrm{c}, 1),(\mathrm{d}, 2)] \\
& \mathrm{R}_2=[(\mathrm{a}, 1),(\mathrm{b}, 1),(\mathrm{c}, 1)...

The range of the function $f(x)=\frac{x-3}{5-x}, x \neq 5$ is

If \(f(x)=\frac{2 x+3}{3 x-2}, x \neq \frac{2}{3}\), then the function \(f\) of is

The approximate value of the function \(f(x)=x^3-3 x+5\) at \(x=1.99\) is

For \(f(x)=[x]\), where \([x]\) is the greatest integer function, which of the following is true, for every \(x \in \mathbf{R}\)

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

Which of the following function has period 2?

The domain of the real valued function $f(x)=\sqrt{\frac{x-2}{3-x}}$ is......

If $f(x)=3 x-2$ and $g(x)=x^2$, then $(f \circ g)(x)=$

If $f(x)=3 x+6, g(x)=4 x+k$ and $f \circ g(x)=g \circ f(x)$ then $k=$