Answer:
[tex]f(-1) = 1[/tex]
Step-by-step explanation:
Given
f(x) = [tex]-x^{3}-x^{2} +1[/tex]
Finding f(-1) means, we have to put -1 in the places of x in the function,
So, putting x=-1 in the function
[tex]f(-1) = (-1)^{3} - (1)^{2} +1[/tex]
As the power 3 is odd, the minus will remain the same, while in the 2nd term minus will be eliminated due to even power. So,
=> [tex]-1-1+1[/tex]
=> 1
Hence,
[tex]f(-1) = 1[/tex]