Question

1. Evaluate the function: g(x)=2x+12 for g(7)-5

2. Find the slope of the line through the pair of points. C(–7, 5), D(–9, 9)

3.Evaluate f(x) = -1/3x for f(4).

Answer 1

QUESTION 1

The given function is

`g(x) = 2x + 12`

This implies that,

`g(x) - 5 = 2x + 12 - 5`

`g(x) - 5 = 2x + 7`

We now put x=7 to obtain,

`g(7) - 5 = 2(7) + 7`

Simplify,

`g(7) - 5 = 14+ 7`

`g(7) - 5 = 21`

QUESTION 2

The given pair of points are C(–7, 5) and D(–9, 9).

The is given by the formula:

`m = (y_2-y_1)/(x_2-x_1)`

We plug in the coordinates to obtain,

`m = (9 - 5)/( - 9 - - 7)`

`m = (4)/( - 2)`

`m = - 2`

The slope is

`- 2`

QUESTION 3

The given function is

`f(x) = - (1)/(3)x`

To evaluate this function for f(4) means we should substitute x=4 into the formula and simplify.

`f(4) = - (1)/(3) * 4`

`f(4) = - (4)/(3)`

`f(4) = - 1 (1)/(3)`