If f(x)=2x – 1, and g(x)=x2 – 3, find (f (g(x)).

Which statements are true of the graph of h(x) = ^3 square root of x-4 ? check all that apply. the domain of h(x) is the set of all real numbers. the range of h(x) is the set of all real numbers. for all points (x, h( h(x) exists if and only if x – 4 0. the graph of h(x) is a translation of f(x) down 4 units. the graph of h(x) intercepts the x-axis at (4, 0).

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

In the triangles, bc =de and ac fe. if the mzc is greater than the mze, then ab isdfelth