An Equation of the Form $y = \left( a x ^ { k } + b \right) ^ { n }$

question 52

Short Answer

An equation of the form $y = \left( a x ^ { k } + b \right) ^ { n }$ can be thought of as the composition of the functions $f ( u ) = u n$ and u(x) $=$ ax ^{k + b} and can be written as $y = u ^ { n }$ where \(u = a x ^k + b. Use this concept to fill in the blanks.

-\[y = \left( 8 x ^ { 2 } - 1 \right) ^ { 2 } \text { can be written as } y = u ^ { - } \text {where } u ( x ) =ـــــــــــ\]