Understanding Composite Functions

For the composite function fg,

Understanding composite functionsTo find the range of the composite function, there are 3 approaches

Method 1ex

Method 2 (Only for strictly increasing or decreasing function)

Since both function g and f are strictly increasing, we can deduce the range in the following manner:

composite

Method 3

Determine the range based on the rule and domain of the composite function

Using the same f and g definition above,

Tex2Img_1399597518

Tex2Img_1399597421

Tex2Img_1399597833

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