Complete your homework and submit It Use the following funct

Complete your homework and submit It, Use the following functions for problems f(x)-2x-2 g(x) = x + 4 f[x) g{x) (f-g)(X)9x) (f+0)(x) f(0(x)) (f(x))

We have given,

ff(x) = 2x- 2 and g(x) = x+4

1) f(x) * g(x) = (2x - 2)(x+4) = 2x² + 6x - 8

2) (f-g)(x) = f(x) - g(x) = (2x- 2) - (x + 4) = 2x - 2 - x - 4 = x - 6

3) (f+g)(x) = f(x) + g(x) = (2x - 2 ) + (x + 4 ) = 3x + 2

4) f[g(x)] = f[x+4] = 2 (x+4) - 2 = 2x + 8 - 2 = 2x + 6

5) g[f(x)] = g[2x - 2] = (2x - 2 ) + 4 = 2x + 2