Respuesta :

Answer:

[tex]f(-3)=-27[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=-4x^2+9[/tex]

And we want to find f(-3).

So, let's substitute -3 for x. Therefore:

[tex]f(-3)=-4(-3)^2+9[/tex]

Square:

[tex]f(-3)=-4(9)+9[/tex]

Multiply:

[tex]f(-3)=-36+9[/tex]

Add:

[tex]f(-3)=-27[/tex]

And we're done!

Answer:

-27

Step-by-step explanation:

  1. f(x) = -4x² + 9
  2. f(-3) = -4(-3)² + 9
  3. f(-3) = -4(9) + 9
  4. f(-3) = -36 + 9
  5. f(-3) = -27