Question

Given graphs of ƒ, g, and h, which function (g or h) is an inverse function of function ƒ?

Answer 1

From the graph we can observe the some relations of the function f (x ) = { (0,-2), (2,10)}

g (x ) = {(0,2), (10,0)}

h (x ) = {(-2,0), (10,2)}

We know that domain is all possible x  values and range is all possible y  values.

In a coordinate pair x  represents first value and y  represents second value.

Domain set of f (x ) = { 0, 2}

Range set of f (x ) = {-2, 10}

Domain of h (x ) = {-2, 10}

Range of h (x ) = {0, 2}

f  is one - one function with domain A  and range B  ,Then it's inverse function denoted by f ^-1 has Domain B and Range A  and is defined by f ^-1(y ) = x and ⇔ f (x ) = y  for any y ∈ B  .

Domian of function f is range of function h and range of function f  is domian of function h.

h  is an inverse function of function f .