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Write an equation for the inverse of the function?

g(x) = 1/2(x) + 8

 

If...

g - (x) = __________

 Jan 8, 2015

Best Answer 

 #1
avatar+17746 
+5

To find the inverse, follow these steps:

Step 1:  Interchange x and g(x)   --->  x  =  (1/2)g(x) + 8

Step 2:  Solve for g(x)   --->            x - 8  =  (1/2)g(x)

                                                        2x - 16  =  g(x)

Step 3:  Replace f(x) with g-1(x)   --->   g-1(x)  =  2x - 16

 Jan 8, 2015
 #1
avatar+17746 
+5
Best Answer

To find the inverse, follow these steps:

Step 1:  Interchange x and g(x)   --->  x  =  (1/2)g(x) + 8

Step 2:  Solve for g(x)   --->            x - 8  =  (1/2)g(x)

                                                        2x - 16  =  g(x)

Step 3:  Replace f(x) with g-1(x)   --->   g-1(x)  =  2x - 16

geno3141 Jan 8, 2015

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