I need all parts to this answered please Suppose that the fu

I need all parts to this answered please.

Suppose that the functions g and h are defined for all real numbers x as follows. g(x) = 2x - 2 h(x) = 4x Write the expressions for (g - h)(x) and (g middot h) (x) and evaluate (g + h) (4). (g - h) (x) = (g middot h) (x) = (g + h) (4) =

Solution

g(x) = 2x -2

h(x) = 4x

i( (g -h)(x) = g(x) - h(x) = 2x -2 -4x = -2x -2

ii) (g.h)(x) = g(x)*h(x) = (2x -2)(4x) = 8x^2 - 8x

iii) ( g+h)(4) = g(4) +h(4) = 2*4 -2 + 4*4 = 8 -2+16 = 22