Question

What is f(-x)?

f(x) = -cos x+ 4x
O f(x) = -cos x- 4x
Of(z)= -cos x+ 4x
Of(1) = cos x-4x
Of(x) = cos x + 4x
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Answer 1

To find f(-x), we simply replace every occurrence of "x" in the function with "-x":

f(-x) = -cos(-x) + 4(-x)

Now, we can simplify the cosine of the negative angle using the identity: cos(-x) = cos(x)

f(-x) = -cos(x) - 4x

Therefore, f(-x) = -cos(x) - 4x is the correct expression for f with the input replaced by -x.

We can see that the other expressions given (Of(z) = -cos(x) + 4x, Of(1) = cos(x) - 4x, and Of(x) = cos(x) + 4x) are not equivalent to f(x) or f(-x).