Question

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)

Answer 1

(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 functions

• f(x) = x + 8
• g(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 = 80

The 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 = -48

The 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 = 1024

The 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 ⇒ ( $\frac{1}{4}$ )

The value of (f/g)(8) is 0.25

Learn more:

You can learn more about the functions in brainly.com/question/2645523

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