Question

URGENT!!

Given the following table with selected values of f (x) and g(x), evaluate f (g(4)).
x –6 –4 1 3 4
f (x) 4 –1 –6 1 3
g(x) 1 4 3 –4 –6

–4
–1
1
4

Answer 1

As we can see

• g(4)=-6

So

• f(g(4))
• f(-6)
• 4

Answer 2

f[g(4)] = 4

Explanation:

Given table:

`\begin{array} c \cline{1-6} x & -6 & -4 & 1 & 3 & 4\\\cline{1-6} f(x) & 4 & -1 & -6 & 1 & 3 \\\cline{1-6} g(x) & 1 & 4 & 3 & -4 & -6 \\\cline{1-6}\end{array}`

f[g(4)] is a composite function.

When calculating composite functions, always work from inside the brackets out.

Begin with g(4): g(4) is the value of function g(x) when x = 4.

From inspection of the given table, g(4) = -6

Therefore, f[g(4)] = f(-6)

f(-6) is the value of function f(x) when x = -6.

From inspection of the given table, f(-6) = 4

Therefore, f[g(4)] = 4