Question

Evaluate ƒ(x) = –x2 + 1 for x = –3. a) 4 b) –4 C) –9 D) –8

Answer 1

D. -8

Explanation:

We are given

f(x)= -x^2+1

and asked to evaluate f(x) for x= -3. Therefore, we must substitute -3 for x in the function.

f(x)= -x^2+1 for x= -3

f(-3)= -(-3^2)+1

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

First, evaluate the exponent: -3^2

-3^2= -3*-3= 9

f(-3)= -(9)+1

f(-3)=-9+1

Next, add -9 and 1

f(-3)= -8

When f(x)= -x^2+1 is evaluated for x= -3, the result is -8. Therefore, the correct answer is D. -8

Answer 2

`f(x)=-x^2+1`

Plug in the value
`x=-3` into this function

`f(-3)=-(-3)^2+1`

`=-(9)+1`

`=-8`

Thus, your answer will be D) -8. Let me know if you need any clarifications, thanks!