A natural cubic spline S for a function f is defined by 3+x+x 4 S(x) = la+블(x-1) +2(x-1)2-3(x-1)" 1Sxs2 An approximation of f (1.5) is: O 3.078125 3.90625 8.84375 O -1.6

Consider the following functions.  Please put a box around the answer and please do not write in cursive thank you! 2-7

Show that lGl =20 , so G is not simple

Find f(x) and g(x) such that for f(g(x)) = h(x) for a) h(x) = square root of 3^x-87 b)h(x)= 2/ ln (x+5)  c) h(x)= (x-3)^5 + square root of x-3 2. Which of the following can be written as a power function? Justify your answers. a) 5/2x b) square root of x-4