Question

select the correct answer.

function (h) is the sum of functions (f) and (g).
(f(x) = 13x - 7)
(g(x) = 2x + 6)

which equation defines function (h)?

• (h(x) = 15x - 1)
• (h(x) = 26x - 42)
• (h(x) = 15x^2 - 1)
• (h(x) = 26x^2 - 42)

Explanation:

⚡ Using what you learned: Operations with Polynomial Functions

Step 1: Set up the sum

$$ h(x) = f(x) + g(x) $$

$$ h(x) = (13x - 7) + (2x + 6) $$

Step 2: Combine like terms

$$ h(x) = (13x + 2x) + (-7 + 6) $$

$$ h(x) = 15x - 1 $$

Answer:

\( h(x) = 15x - 1 \)