Determine a value for m so that h (x) = -1/3 x^3 + nx^2 + 8x – 15 has an inflection point at  x = – 2.

Consider the following function.f(x) = 5x/7^√2x+5 (a)State the domain of the given function using interval notation.  (b)Determine the x- and y-intercepts, if possible. If there is more than one such intercept, separate them by commas. If such an intercept does not exist, enter DNE.x-intercept(s)    (x, y)=     y-intercept(s)    (x, y)=

Let f(x)=√6−x+5. Determine f−1(x) and the the domain of f−1(x).(the square root is only over 6-x) f−1(x)=Domain of f−1(x)=

Given f(x) = 2/x + 5and g(x) = 2x^2 − 5, find f(g(x)) and g(f(x)).