Question

Help me with this questionnn

Answer 1

`\sf\\Solution:\\f(x)=x^2-3\\or,\ y=x^2-3\\or,\ x=√(y+3)\\\\\textsf{Interchanging x and y,}\\\\y=√(x+3)\\\therefore\ f^(-1)(x)=√(x+3)\\\\\textsf{Here, }f^(-1)(x)\textsf{ is real only if:}\\√(x+3)\ge0\\or,\ x+3\ge0\\or,\ x\ge-3\\\therefore\ Domain = [-3,\infty)`