Let k be a decreasing function such that k(1/4) = 1/2 and k′(x) = −4x^2 + 2. If g is the inverse of k, which of the following is equal to g'(1/2)?

This is my question~~ ( r ^ 4 - 2r ^ 3 - 23 r ^ 2 - 4r - 32)÷(r+4) ~~ i must use long division to solve it : / i was wondering if anyone world like to solve it. and if so, share step-by-step explanations! you! ❤

Find the slope of the line passing through a pair of points

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle