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. Thus:
[tex]f(-3)=-4(-3)^2+9[/tex]
Square. -3 squared is positive 9:
[tex]f(-3)=-4(9)+9[/tex]
Multiply:
[tex]f(-3)=-36+9[/tex]
Add:
[tex]f(-3)=-27[/tex]
And we're done!
