Question

Given the following functions ( f(x) ) and ( g(x) ), solve ( f[g(6)] ).

[ f(x) = 6x + 12 ]
[ g(x) = x - 8 ]

a) -96

b) 0

c) 24

d) 48

Answer 1

To solve f[g(6)], first compute g(6) to get -2, then input this into f(x) to find f(-2), resulting in the answer 0.

Step-by-step explanation:

To solve for f[g(6)] when f(x) = 6x + 12 and g(x) = x - 8, follow these steps:

1. First, find the value of g(6), which is 6 - 8, resulting in -2.
2. Next, plug this value into function f by replacing x with -2: f(-2) = 6(-2) + 12.
3. Finally, perform the calculations to get f(-2) = -12 + 12, which simplifies to 0.

Therefore, the answer is b) 0.