Answers2627 ALGEBRA II AFunction Operations

Function Operations Answers

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f(x) = x + 2 g(x) = x – 4(f g)(x) =

A
2x – 2
B
x2 – 8
C
x2 – 2x – 8
D
x2 + 2x – 8
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(rs)(4) =

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9

A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the function C(x) = 180 + 8x. The revenue earned from selling x bracelets is represented by the function R(x) = 20x. Write and simplify a function P that represents the profit made from selling x bracelets.How many bracelets must the company sell to break even?

Answer:

To find the profit function, subtract the cost function from the revenue function: P(x) = R(x) - C(x). Step 1: P(x) = 20x - (180 + 8x) Step 2: P(x) = 20x - 180 - 8x Step 3: P(x) = 12x - 180 To find the breakeven point, set P(x) to zero: 0 = 12x - 180 180 = 12x x = 15 The company must sell 15 bracelets to break even.

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What steps did you include in your solution?

A
Profit is revenue minus cost. P(x) = R(x) – C(x) or P(x) = 20x – (180 + 8x)
B
Distribute and combine like terms.P(x) = 12x – 180
C
The breakeven point is when P(x) = 0. 0 = 12x – 180 180 = 12x x = 15
D
They must sell 15 bracelets to break even.
13

f(x) = x2 + 1 g(x) = 5 – x(f + g)(x) =

A
x2 + x – 4
B
x2 + x + 4
C
x2 – x + 6
D
x2 + x + 6
14

(f – g)(x) =

A
x2 + x – 4
B
x2 + x + 4
C
x2 – x + 6
D
x2 + x + 6

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