Consider the function f ( x )= 27 ( x ^ 2 / 3 - x ) 4 How many solutions does the function f(x)=-1 have?

Step-by-step solution

aligned f(x) & = 27 4 (x^ 2 / 3 -x ) & = 27 4 ( (x^2 )^ 1 / 3 -x ) aligned Similarly for f(x)=-1 we will get 27 y^3-27 y^2-4=0 and after solving it we will find that it has one real solution. aligned & y₀=1.1184, & x= ( y ₀ )^3=(1.1184)^3=1.4 aligned