Question

Let f(x) = e^6x and g(x) = 8ln(x). Find and simplify g(f(−2)).

Answer 1

Answer: -96

Step-by-step explanation:

f(x) = e⁶ˣ                 g(x) = 8 ln(x)

f(-2) = e⁶⁽⁻²⁾

       = e⁻¹²

                            g(e⁻¹²) = 8 ln(e⁻¹²)

                                      = 8(-12)          ln and e cancel

                                      = -96