Evaluate the function $$ f(x)=-x^{2}-1 $$ at the given value of the variable. a. $$ f(2) $$ b. $$ f(-3) $$ a. $$ f(2)=\square $$ (Simplify your answer.) b. $$ f(-3)=\square $$ (Simplify your answer.)

Question

UpStudy AI · Accepted Answer

**a. Evaluating $$ f(x) = -x^2 - 1 $$ at $$ x = 2 $$:**

1. Substitute $$ x = 2 $$:
   $$
   f(2) = -(2)^2 - 1
   $$

2. Compute the square:
   $$
   (2)^2 = 4
   $$

3. Substitute back:
   $$
   f(2) = -4 - 1
   $$

4. Simplify:
   $$
   f(2) = -5
   $$

**b. Evaluating $$ f(x) = -x^2 - 1 $$ at $$ x = -3 $$:**

1. Substitute $$ x = -3 $$:
   $$
   f(-3) = -(-3)^2 - 1
   $$

2. Compute the square:
   $$
   (-3)^2 = 9
   $$

3. Substitute back:
   $$
   f(-3) = -9 - 1
   $$

4. Simplify:
   $$
   f(-3) = -10
   $$

Thus, the answers are:

a. $$ f(2) = -5 $$  
b. $$ f(-3) = -10 $$
a. $$ f(2) = -5 $$ b. $$ f(-3) = -10 $$

Evaluate the function at the given value of the variable.
a.
b.
a. (Simplify your answer.)
b. (Simplify your answer.)

Upstudy AI Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Algebra Questions

Evaluate the function at the given value of the variable. a. b. a. (Simplify your answer.) b. (Simplify your answer.)