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

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

When calculating <u>composite functions</u>, 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

3 0

1 year ago

Read 2 more answers

Which is the graph of f(x) = 1/4(4)^x?

Katen [24]

Answer:

The last graph with the point (2,4).

Step-by-step explanation:

Make a table of the values, then graph.

Example:

X: -2, -1, 0, 1, 2

Y: $\frac{1}{64}$ , $\frac{1}{16}$ , $\frac{1}{4}$ , 1, 4

5 0

2 years ago

The leukemia and lymphoma society sponsors a 5k race to raise money it receives $55 per race entry and $10000 in donations but i

LuckyWell [14K]

<span>n >= 1125 First, make an equation to express the money raised after expenses. 55n - 15n + 10000 = m The above expression can be read as "55 dollars per running is raised, but 15 dollars is spent per running to support them. Plus we get 10000 as a constant regardless of how many runner we have." Now convert that to an inequality for at least 55000 to be raised. 55n - 15n + 10000 >= 55000 Now solve for n 55n - 15n + 10000 >= 55000 40n + 10000 >= 55000 40n >= 45000 n >= 1125 So there needs to be at least 1125 runners in order to meet the goal of $55,000.</span>

4 0

3 years ago