Question

f(x) = 3x² + 5
g(x) = 4x - 2
h(x) = x² - 3x + 1
find f(x) + g(x) - h(x).
○ 2x² + 7x + 2
○ 2x² + x + 2
○ 7x² + x + 4
○ 5x² + 4
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depend

Explanation:

Step1: Substitute the functions

We know \( f(x) = 3x^2 + 5 \), \( g(x) = 4x - 2 \), and \( h(x) = x^2 - 3x + 1 \). So we substitute these into \( f(x)+g(x)-h(x) \):
\( (3x^2 + 5)+(4x - 2)-(x^2 - 3x + 1) \)

Step2: Remove parentheses

Using the distributive property (for the subtraction of \( h(x) \), we distribute the negative sign):
\( 3x^2 + 5 + 4x - 2 - x^2 + 3x - 1 \)

Step3: Combine like terms

• For \( x^2 \) terms: \( 3x^2 - x^2 = 2x^2 \)
• For \( x \) terms: \( 4x + 3x = 7x \)
• For constant terms: \( 5 - 2 - 1 = 2 \)

Putting it all together, we get \( 2x^2 + 7x + 2 \)

Answer:

\( 2x^2 + 7x + 2 \) (which corresponds to the first option among the choices)