Question

Utilizando f (x) = χ²- 2 y g (x) = 5x + 3, encuentra : f (g(2)) ; g (f (-4) ) ; f (f (1) ) ; f (g(x) )

Answer 1

F(x) = x² - 2
g(x) = 5x + 3

1. f(g(2))
       g(2) = 5(2) + 3 = 10 + 3 = 13
     f(g(2) = f(13) = 13² - 2 = 169 - 2 = 167

2. g(f(-4))
        f(-4) = (-4)² - 2 = 16 - 2 = 14
    g(f(-4) = g(14) = 5(14) + 3 = 70 + 3 = 73

3.f(f(1))
      f(1) = 1² - 2 = 1 - 2 = -1
   f(f(-1)) = f(-1) = (-1)² - 2 = 1 - 2 = -1

4. f(g(x)
    f(5x+3) = (5x + 3)² - 2 =25x² + 30x + 9 - 2 
                                          = 25x² + 30x +7