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

f(x) = 6x + 8

g(x) = x − 2

answers:
a.) −2
b.) −negative one half
c.)one half
d.)2
i took this test a long time ago but can't remember how i got the answer. the answer i got was d. can you tell me how to solve?

So you have to solve f / g times -3 

Well, it's telling you -3=x so now the equation is f(-3) divided by g(-3) 
That just means you plug in -3 to the equations you have, SO: 

f(x) = 6(-3) + 8 / g(x)= -3 - 2 
f(x) = -18 + 8 / g(x) = -5
f(x) = -10 

-10/-5 = 2 , because 2 negatives equals a positive

The null and alternative hypotheses:

H0: attitudes between first survey and second survey have not changed.

H1:attitudes between first survey and second survey have changed.

Let's find the observed and expected value using the following:

Observed value = sample size * observed proportion

Expected value = sample size * expected proportion.

Optimistic:

expected= 6%*380=22.8

observed=1%*380=3.8  

(fo-fe)²/fe = 15.83333

Slightly Optimistic:

expected: 29%*380=110.2);

Observed: 30%*380= 114

(fo-fe)²/fe  = 0.131034

Slightly Pessimistic:

expected= 24%*380= 91.2

Observed = 28%*380=106.4  

(fo-fe)²/fe =  2.533333

Pessimistic:

Expected = 41%*380 =155.8

Observed = 41%*380 =155.8

(fo-fe)²/fe = 0

Total (fo-fe)²/fe =

15.83333 + 0.131034 + 2.533333 + 0 = 18.4977

Degrees of freedom, df = 4 - 1 = 3

For chi square test statistic:

Σ(fo-fe)²/fe = 15.83333 + 0.131034 + 2.533333 + 0 =  18.498

Calculate pvalue.

Calculating for pvalue at, df = 3, chi-square score = 18.4977, α=0.05

Pvalue = 0.000347

Decision:

Since pvalue, 0.000347 is less than significance level, 0.05, reject null hypothesis H0.

Conclusion:

There is enough evidence to conclude that there is a change in attitudes between  first survey and the second survey at a level of significance, 0.05.