Given f, of, x, equals, minus, 4, x, minus, 5f(x)=−4x−5, find f, of, minus, 4f(−4)

1 answer

To find f(-4), we substitute x = -4 into the equation f(x) = -4x - 5:

f(-4) = -4(-4) - 5

Simplifying this expression:

f(-4) = 16 - 5

f(-4) = 11

Now, to find f(-4f(-4)), we substitute -4f(-4) into the equation f(x) = -4x - 5:

f(-4f(-4)) = -4(-4f(-4)) - 5

Substituting the value we found for f(-4) earlier:

f(-4f(-4)) = -4(-4(11)) - 5

Simplifying this expression:

f(-4f(-4)) = -4(-44) - 5

f(-4f(-4)) = 176 - 5

f(-4f(-4)) = 171