Let fx 5x 4 gx x hx squareroot x and kx 1x Find and sim

Let f(x) = 5x - 4, g(x) = |x|, h(x) = squareroot x and k(x) = 1/x. Find and simplify the indicated composite function. (f compositefunction g compositefunction h)(x) ________________ State the domain. (Enter your answer using interval notation.) ____________________

Solution

f(x) = 5x-4 , g(x) = |x| , h(x) = x , k(x) = 1/x

(f o g o h)(x)

Starting with g[h(x)] = |x| =x

Therefore, (f o g o h)(x) = f{g[h(x)]} = f(x) = 5x -4

Domain : x cannot be negative .So, [0, infi)