Review of Functions

Q. If $g\left(x\right)=1-x$ and $h\left(x\right)=\frac{x}{x-1}$ then $\frac{g\left(h\right(x\left)\right)}{h\left(g\right(x\left)\right)}$ is

1. $\frac{h\left(x\right)}{g\left(x\right)}$
2. $\frac{-1}{x}$
3. $\frac{g\left(x\right)}{h\left(x\right)}$
4. $\frac{x}{(1-x{)}^2}$

Q. Let x and y be integers satisfying the following equations

$2x^2+y^2=34$ and


$x+2y=11$

The value of (x + y) is _____ .

1. 7

Q. Let $y^2-2y+1=x$ and $\sqrt{x}+y=5$. The value of $x+\sqrt{y}$ equals to _____ (Give the answer up to three decimal paces).

1. 5.732

Q. Let $y^2-2y+1=x$ and $\sqrt{x}+y=5$. The value of $x+\sqrt{y}$ equals to _____ (Give the answer up to three decimal paces).

1. 5.732

Q. Let x and y be integers satisfying the following equations

$2x^2+y^2=34$ and


$x+2y=11$

The value of (x + y) is _____ .

1. 7

Q. If $g\left(x\right)=1-x$ and $h\left(x\right)=\frac{x}{x-1}$ then $\frac{g\left(h\right(x\left)\right)}{h\left(g\right(x\left)\right)}$ is

1. $\frac{h\left(x\right)}{g\left(x\right)}$
2. $\frac{-1}{x}$
3. $\frac{g\left(x\right)}{h\left(x\right)}$
4. $\frac{x}{(1-x{)}^2}$