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Given g, of, x, equals, minus, x, minus, 4g(x)=−x−4, find g, of, minus, 4g(−4).
To find g(−4), we substitute x with −4 in the given equation g(x) = −x−4:
g(−4) = −(−4) − 4 = 4 − 4 = 0
Therefore, g(−4) = 0.
Now, to find g of minus 4g(−4), we substitute the value of g(−4) into the equation:
g(−4) = 0
g(−4) = -4(0) = 0
Therefore, g of minus 4g(−4) = g(0) = -0 - 4 = -4.