$$ f(x)=(-x)^{3}-x^{2}-x+1 $$ a. $$ f(3) $$ b.f(-3)

Question

UpStudy AI · Accepted Answer

We are given the function:

f(x) = (–x)³ – x² – x + 1

Step 1. Simplify the term (–x)³:

(–x)³ = –(x³)

So the function can be rewritten as:

f(x) = –x³ – x² – x + 1

Now, we evaluate for the given values.

a. For x = 3:

f(3) = –(3³) – (3²) – 3 + 1
    = –27 – 9 – 3 + 1
    = –38

b. For x = –3:

f(–3) = –((–3)³) – ((–3)²) – (–3) + 1
    = –(–27) – 9 + 3 + 1
    = 27 – 9 + 3 + 1
    = 22

Thus, the answers are:

a. f(3) = –38  
  b. f(–3) = 22
a. $$ f(3) = -38 $$ b. $$ f(-3) = 22 $$

\( f(x)=(-x)^{3}-x^{2}-x+1 \) a. \( f(3) \) b.f(-3)