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First of all key elements required for this question is the knowledge or retrival of these equations: tan² + 1 =sec² A   tan(A-B) = (tanA-tanB)/(1+tanAtanB) so for the first equation...

To answer this we will need to use the product rule which is as follows: For y=uv, dy/dx=u'v+uv' where u' is the derivative of u and v' is the derivative...

If f(x) = 4x - m, and g(x) = mx +11, then the combined functions are: fg(x) = 4(mx +11) -m, or expanded to fg(x) = 4mx + 44 - m.

We are told that this function of 'f' and 'g' can also be written as...