The function g is defined by gx 2fx 3 4 Explain how the b

The function g is defined by g(x) = 2f(x + 3) - 4. Explain how the behavior of function g compares to the behavior of function f.

Solution

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

The g(x) is formed by shifting the function f(x) 3 units to the left, making it broad by 2 units since it gets multiplied by 2 and then finally moving it vertically down by another 4 units to get the function g(x).

So, now points for g9x) will change in comparison to f(x).