Question
Given g, of, x, equals, 5, x, plus, 2g(x)=5x+2, find g, of, minus, 4g(−4
Answers
Answered by
GPT 3.5
To find g(-4), we substitute -4 for x in the equation 2g(x) = 5x + 2.
g(-4) = 5(-4) + 2
g(-4) = -20 + 2
g(-4) = -18
Now to find g(-4) minus 4 times g(-4):
g(-4) - 4g(-4) = -18 - 4(-18)
g(-4) - 4g(-4) = -18 + 72
g(-4) - 4g(-4) = 54
Therefore, g of minus 4 times g of negative 4 is equal to 54.
g(-4) = 5(-4) + 2
g(-4) = -20 + 2
g(-4) = -18
Now to find g(-4) minus 4 times g(-4):
g(-4) - 4g(-4) = -18 - 4(-18)
g(-4) - 4g(-4) = -18 + 72
g(-4) - 4g(-4) = 54
Therefore, g of minus 4 times g of negative 4 is equal to 54.
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