Question

Given f, left bracket, x, right bracket, equals, minus, 4, x, squared, plus, 3, x, minus, 11f(x)=−4x

2
+3x−11, find f, left bracket, minus, 4, right bracketf(−4)

Answer 1

The value of
`\( f(-4) = -87 \).`

To find f(-4) for the given function
`\( f(x) = -4x^2 + 3x - 11 \)`, substitute
`\( x = -4 \)` into the function:
`\[ f(-4) = -4(-4)^2 + 3(-4) - 11 \]`

1. Replace x with -4 in the function f(x) :

`\[ f(-4) = -4(-4)^2 + 3(-4) - 11 \]`

2. Simplify the expression inside the brackets:

`\[ f(-4) = -4(16) - 12 - 11 \]`

3. Perform the multiplications and additions:

`\[ f(-4) = -64 - 12 - 11 \]`

4. Finally, combine the numbers:

`\[ f(-4) = -87 \]`

Therefore,
`\( f(-4) = -87 \).`