Given the following functions f(x) and g(x), solve f over g(−3) and select the correct answer below:

f(x) = 6x + 8

g(x) = x − 2

−2
−negative one half
one half
2

We are given the functions:

f(x) = 6x + 8                        ---> 1

g(x) = x – 2                          ---> 2

To solve for the value of f over g(-3) or (f / g) (-3), we must first find (f / g) (x). We can do this by dividing equation 1 by equation 2:

(f / g) (x) = f (x) / g (x)

(f / g) (x) = (6 x + 8) / (x – 2)

Now we plug into the equation the value of x, x = - 3

(f / g) (- 3) = (6 * (-3) + 8) / (- 3 – 2)

(f / g) (- 3) = (- 18 + 8) / (- 5)

(f / g) (- 3) = - 10 / - 5

(f / g) (- 3) = 2

2

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have