Q:

Find the following values for the given functions.f(x) = x + 8, 9(x) = x2(a) (f + g)(8)(b)(- 9)(8)(c)(f9)(8)(d)(f/g)(8)

Accepted Solution

A:
(a) The value of (f + g)(8) is 80(b) The value of (f - g)(8) is -48(c) The value of (f g)(8) is 1024(d) The value of (f/g)(8) is 0.25 Step-by-step explanation:We need to find the following values for the given functionsf(x) = x + 8g(x) = x²(a) (f + g)(8)Substitute x in f and g by 8 and then add the answers∵ x = 8∵ f(x) = x + 8∴ f(8) = 8 + 8 = 16∵ g(x) = x² ∴ g(8) = (8)² = 64- Add the two answers∴ (f + g)(8) = 16 + 64 = 80The value of (f + g)(8) is 80(b) (f - g)(8)Substitute x in f and g by 8 and then subtract g(8) from f(8) the answers∵ x = 8∵ f(x) = x + 8∴ f(8) = 8 + 8 = 16∵ g(x) = x² ∴ g(8) = (8)² = 64- subtract the value of g(8) from the value of f(8)∴ (f + g)(8) = 16 - 64 = -48The value of (f - g)(8) is -48(c) (f g)(8)Substitute x in f and g by 8 and then multiply the answers∵ x = 8∵ f(x) = x + 8∴ f(8) = 8 + 8 = 16∵ g(x) = x² ∴ g(8) = (8)² = 64- Multiply the two answers∴ (f g)(8) = 16 × 64 = 1024The value of (f g)(8) is 1024(d) (f/g)(8)Substitute x in f and g by 8 and then divide the value of f by the value of g∵ f(x) = x + 8∴ f(8) = 8 + 8 = 16∵ g(x) = x² ∴ g(8) = (8)² = 64- Divide the value of f(8) by the value of g(8)∴ (f/g)(8) = 16 ÷ 64 = 0.25 ⇒ ( [tex]\frac{1}{4}[/tex] )The value of (f/g)(8) is 0.25 Learn more:You can learn more about the functions in brainly.com/question/2645523#LearnwithBrainly