What is the inverse of the function g(x)=-\dfrac{2}{3}x-5g(x)=− 3 2  x−5g, left parenthesis, x, right parenthesis, equals, minu
s, start fraction, 2, divided by, 3, end fraction, x, minus, 5?
       
      
                
     
    
    
    
    
    1 answer:
            
              
              
                
                
Answer:

Step-by-step explanation:
Given function,

Step 1 : Replace g(x) by y:

Step 2 : Swap x and y:

Step 3 : Solve the equation for y ( isolate y in the left side ):

      
       
       
       
Step 4: Replace y by  :
:

Hence, the inverse of the function g(x) is  .
.
 
                                
             
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