Question

Siendo las funciones f(x)=x, g(x)=4x - ½ y h(x)= x². Calcula:
a) g[h(x)]
b) f[h(x)]
c) f[g(h(x))]
d) h[g(f(x))]

Answer 1

a) (4x-1/2) (x²)
     4x³- x²/2 resp.

b) x(4x-1/2)
    4x²-1/2  resp.

c) x[(4x-1/2)x2]
    x[4x³- x²/2]
    16x^4 - 4x^3/2   resp.

d) x²[(4x-1/2)(x)]
    x²[4x²- x/2]
    4x^4 - x³/2   resp.