Question

Use the following functions for 10–12:
f(x) = -2.5x + 12; g(x) = 21x - 28
10. Find h(x) = f(x) + g(x).
11. Find h(x) = g(x) – f(x).
12. Find h(x) = 4g(x).

Answer 1

• h(x) = f(x) + g(x) = $h(x) = 18.5x-16$
• h(x) = g(x) – f(x) = $h(x) = 23.5x-40$
• h(x) = 4g(x) = $h(x) = (84x-112)$

Step-by-step explanation:

Here we have , f(x) = -2.5x + 12; g(x) = 21x - 28 or $f(x) = -2.5x + 12, g(x) = 21x - 28$ .

10. Find h(x) = f(x) + g(x).

⇒ $h(x) = f(x) +g(x)$

⇒ $h(x) = ( -2.5x + 12)+( 21x - 28)$

⇒ $h(x) = ( 21x-2.5x )+( 12 - 28)$

⇒ $h(x) = 18.5x-16$

11. Find h(x) = g(x) – f(x).

⇒ $h(x) = g(x)-f(x)$

⇒ $h(x) = ( 21x - 28)-( -2.5x + 12 )$

⇒ $h(x) = ( 21x+2.5x )+( -12 - 28)$

⇒ $h(x) = 23.5x-40$

12. Find h(x) = 4g(x).

⇒ $h(x) = 4g(x)$

⇒ $h(x) = 4( 21x - 28)$

⇒ $h(x) = (84x-112)$