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ser-zykov [4K]
3 years ago
6

Don’t understand 23 and 24

Mathematics
1 answer:
enot [183]3 years ago
8 0

Answer:

23.  16x² + 4x + 0.25

24.  16x² - 4x + 0.25

Step-by-step explanation:

Given the functions f(x) = 4x + 0.5 and g(x) = 4x - 0.5, questions 23 and 24 are asking you to square the entire function.  So, you will take the expression given in each function and square it:

(f(x))² = (4x + 0.5)(4x + 0.5) Using FOIL:

(4x*4x) + (4x*0.5) + (4x*0.5) + (0.5*0.5)

16x² + 2x + 2x + 0.25 = 16x² + 4x + 0.25

(g(x))² = (4x - 0.5)(4x - 0.5) Using FOIL:

(4x*4x) - (4x*0.5) - (4x*0.5) + (0.5*0.5)

16x² - 2x - 2x + 0.25 = 16x² - 4x + 0.25

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