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inessss [21]
3 years ago
12

If f(x)=(2x^2)-1, find: -f(3x-1)+2

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

-f(3x - 1) + 2 = -18x² + 12x + 1

Step-by-step explanation:

Step 1: Find f(3x - 1)

f(3x - 1) = 2(3x - 1)² - 1

f(3x - 1) = 2(9x² - 6x + 1) - 1

f(3x - 1) = 18x² - 12x + 2 - 1

f(3x - 1) = 18x² - 12x + 1

Step 2: Plug in f(3x - 1)

-(18x² - 12x + 1) + 2

Step 3: Evaluate

-18x² + 12x - 1 + 2

-f(3x - 1) + 2 = -18x² + 12x + 1

Allisa [31]3 years ago
3 0
-f(3x-1) + 2 = -18x2 + 12x+1
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