**Answer:**

B. The function f(x) is a geometric sequence.

**Step-by-step explanation:**

We are given that,

The function f(x) grows by 12% for every unit in the domain.

That is,

For the initial value, let the output value be x.

For the next value, the output will be

For the next value, the output will be

For the next value, the output will be and so on..

<em>Thus, the output values are increasing by the rate</em>

**Hence, the function f(x) represents a geometric sequence.**

The arrangement of mother's eye level, ground level and playground forms a right angles triangle.

The legs of this triangle are 12.6 m (eye level to ground) and 20 m (building to playground).

Using trigonometry and assuming the depression angle is Ф;

tan Ф = 20/12.6 = 1.5873

Ф = tan ^-1(1.5873) = 57.78°

The answer is 20 because you plug in x=2 into f(x)

G[(f(x)] = 2(-8x) + 3 = -16x + 3

- you replace the x in formula for g(x) by that for f(x) (ie -8x).