necessaryh

2020-12-29

The equation for inverse function ${g}^{-1}(x)\text{}\text{for the function}\text{}g(x)=\sqrt{x\text{}+\text{}2}$ .

Pohanginah

Skilled2020-12-30Added 96 answers

Consider the function,

The function

In order to find the inverse of a function, first replzce

Now, interchange x and y,

To simplify the above equation further, use the formula, if

where n and m are positive real numbers,

Thus, change y by

Therefore, the inverse of the given function

Use the transformation of the graph of the parent function

Draw the graph of the parent function

Plot the graph of

Consider the original function

Use the properties of the transformation of the graph. In the graph of the function

Hence, the grapg for the function

Similarly, using the transformation of the graphs, plot the graph of the inverse function

It can be observed that the curve of the inverse function

and the function

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