Properties of Composite Function

Q.

If $f\left(x\right)=\sqrt{x+3}$ and $g\left(x\right)=1+x^2,$ then $fog\left(x\right)=$ ____.

1. $\sqrt{x^2-4}$

2. $x+4$

3. $\sqrt{x^2+4}$

4. $x+3$

Q. If f: R $\to$ R , g : R $\to$ R and h: R $\to$ R are such that $f\left(x\right)=x^2$ , $g\left(x\right)=tanx$ and $h\left(x\right)=logx$, then the value of $\left(h\right(g\left(f\right(x\left)\right)\left)\right)$
if $x=\sqrt{\frac{\pi }{4}}$ will be

1. 0
2. 1
3. -1
4. $\pi$

Q. If $(3-2x)$ and $(5x+8)$ are factors of $(-10x^2+hx-k)$, then the values of $h$ and $k$ are respectively____

1. $-1$ and $24$
2. $1$ and $24$
3. $-1$ and $-24$
4. $1$ and $-24$