They are inverse functions though to be completely thorough your teacher should have also put g(f(x)) = x as well. Though I can see what your teacher is aiming for at least.
The idea is that whatever the output of g(x) is, it's plugged into f(x) and the initial input is the result. So g(x) takes a step forward and f(x) takes a step back undoing everything g(x) did. Which is exactly what an inverse operation does. 
        
                    
             
        
        
        
x = 10.22 in
Solution:
Width of the figure = x in
Length of the figure = (2x + 5) in
Area of the figure = 260 in²
<u>To find the value of x:</u>
<em>Area of the figure = length × width</em>
length × width = 260
(2x + 5) × x = 260

Subtract 260 from both sides of the equation.

Factor the above quadratic expression.
Quadratic equation formula:




x = 10.22,   x = –12.72006
Dimension of the figure cannot be measured in negative terms.
Hence x = 10.22 in.
 
        
             
        
        
        
Maurine owns three bagel shops. Each shop sells 500 bagels per day. Maureen asks her store managers to use a random sample to see how many whole wheat bagels are sold at each store each day. Shop A has total of 50 bagels in sample and 10 are whole wheat bagels. Store B has a total of 100 bagels in sample and 23 are whole wheat bagels. Shop C has 25 total bagels in sample and 7 are whole wheat bagels.
We find fraction of whole wheat bagels to the sample for each shop using given information
Shop A = 
Shop B = 
Shop C = 
The number of whole wheat bagels for each shop that sells 500 bagels per day
Shop A = 
Shop B = 
Shop C = 
 
        
                    
             
        
        
        
3-1/2x=-71
when you solve it, the answer is 37
 
        
                    
             
        
        
        
The discount is $35.00
The sales tax is $8.25
So the final cost of the tent is 
146.00-35.00=$111.00
111+8.25= 119.25
Your answer is $119.25