If A={-1,0,2,5,6,11},B={-2,-1,0,18,108}and f(x)=x²-x-2,then examine if f(A)=B
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➡HERE IS YOUR ANSWER⬇
Given that :
A = {-1, 0, 2, 5, 6, 11}
B = {-2, 0, 18, 28, 108}
f(x) = x² - x - 2
Now,
f(-1) = (-1)² - (-1) - 2 = 1 + 1 - 2 = 0
f(0) = 0² - 0 - 2 = -2
f(2) = 2² - 2 - 2 = 4 - 4 = 0
f(5) = 5² - 5 - 2 = 25 - 7 = 18
f(6) = 6² - 6 - 2 = 36 - 6 - 2 = 28
f(11) = 11² - 11 - 2 = 121 - 11 - 2 = 108
We see that f(A) = B [Proved]
⬆HOPE THIS HELPS YOU⬅
Given that :
A = {-1, 0, 2, 5, 6, 11}
B = {-2, 0, 18, 28, 108}
f(x) = x² - x - 2
Now,
f(-1) = (-1)² - (-1) - 2 = 1 + 1 - 2 = 0
f(0) = 0² - 0 - 2 = -2
f(2) = 2² - 2 - 2 = 4 - 4 = 0
f(5) = 5² - 5 - 2 = 25 - 7 = 18
f(6) = 6² - 6 - 2 = 36 - 6 - 2 = 28
f(11) = 11² - 11 - 2 = 121 - 11 - 2 = 108
We see that f(A) = B [Proved]
⬆HOPE THIS HELPS YOU⬅
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