Rational Function

Q.

Let $f\left(x\right)=x^2$ and $g\left(x\right)=3x+4$. Find the value of $\frac{(f+g)\left(x\right)}{(f-g)\left(x\right)}$ when $x=1$

1. $\frac{4}{3}$

2. $\frac{-4}{3}$

3. $\frac{-3}{4}$

4. $\frac{3}{4}$

Q. If $x=\frac{4}{3}$ is a root of the polynomial
$f\left(x\right)=6x^3-11x^2+kx-20$, then find the value of $k$.

1. $15$
2. $19$
3. $22$
4. $26$

Q. The range of the function $f\left(x\right){=}^{7-x}{P}_{x-3}$ is

1. {1, 2, 3}
2. {1, 2, 3, 4}
3. {1, 2, 3, 4, 5}
4. {1, 2, 3, 4, 5, 6}

Q.

The value of x in the given parallelogram is

1. 11

2. 22

3. 44

4. 33

Q.

If f(x) = $\sqrt{x}$ and $g\left(x\right)=x$ , then $\left(\frac{f}{g}\right)\left(x\right)$ equals to $(x\ne 0)$

1. $\sqrt{x}$

2. $x$

3. $\frac{1}{\sqrt{x}}$

4. $x^{\frac{3}{2}}$