Question

If f(x) = -4x - 8 and g(x) 1/x-2 what is

(f∘g)(18)?
a) -10
b) -12
c) -14
d) -16

Answer 1

To find (f∘g)(18), substitute 18 into the g(x) function first, then substitute the result into the f(x) function. The answer is -10.5.

Step-by-step explanation:

The composition of two functions, f and g, is denoted as (f∘g)(x) and is equal to f(g(x)). To find (f∘g)(18), we substitute 18 into the g(x) function first, and then substitute the result into the f(x) function.

We start by evaluating g(x) = 1/(x-2) at x = 18. Plugging in the value, we get g(18) = 1/(18-2) = 1/16. Now we substitute this value into f(x) = -4x - 8 to find f(g(18)) = -4(1/16) - 8 = -4/16 - 8 = -1/4 - 8 = -10/4 - 8 = -2.5 - 8 = -10.5.