Respuesta :

Answer:

-1 * (-3)^2 - 12 = -1 * 9 -12 = -9 - 12 = -21

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf f(-3)= -21}}[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x)= -x^2-12[/tex]

We want to find f(-3), so we must substitute -3 in for x.

[tex]f(-3)= -(-3)^2 -12[/tex]

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

Solve the exponent.

  • (-3)²= -3*-3 = 9

[tex]f(-3)= -(9)-12[/tex]

Distribute the -1 in.

[tex]f(-3)= -9-12[/tex]

Subtract.

[tex]f(-3)= -21[/tex]

For the function -x²-12, f(-3) is equal to 21