Question

the movement of the progress bar may be uneven because questions can be worth
$f(x) = 3x + 5$
$g(x) = 4x^2 - 2$
$h(x) = x^2 - 3x + 1$
find $f(x) - g(x) - h(x)$.
\\( -5x^2 + 6x + 6 \\)
\\( -5x^2 + 6 \\)
\\( 5x^2 + 4 \\)
\\( 5x^2 + 6x + 4 \\)

Explanation:

Step1: Substitute the functions

Substitute \( f(x) = 3x + 5 \), \( g(x) = 4x^2 - 2 \), and \( h(x) = x^2 - 3x + 1 \) into \( f(x) - g(x) - h(x) \):
\[
(3x + 5) - (4x^2 - 2) - (x^2 - 3x + 1)
\]

Step2: Distribute the negative signs

Distribute the negative signs to the terms inside the parentheses:
\[
3x + 5 - 4x^2 + 2 - x^2 + 3x - 1
\]

Step3: Combine like terms

• For \( x^2 \) terms: \( -4x^2 - x^2 = -5x^2 \)
• For \( x \) terms: \( 3x + 3x = 6x \)
• For constant terms: \( 5 + 2 - 1 = 6 \)

Putting it all together:
\[
-5x^2 + 6x + 6
\]

Answer:

\( -5x^2 + 6x + 6 \) (corresponding to the first option)