Question

For the functions f(x) = 3x + 7 and g(x) = 10x - 9, evaluate (gºf)(-4).

Answer 1

To evaluate (gºf)(-4), substitute -4 into g(x) and then substitute the result into f(x).

Step-by-step explanation:

To evaluate (gºf)(-4), we need to substitute -4 into the function g(x) and then substitute the resulting value into the function f(x). Let's start by evaluating g(-4):

g(-4) = 10(-4) - 9 = -40 - 9 = -49

Now, we substitute -49 into the function f(x):

f(-49) = 3(-49) + 7 = -147 + 7 = -140

Therefore, (gºf)(-4) = -140.