How do you find the inverse of #g( x ) = 6x + 7#?

1 Answer
Y
Jun 4, 2017

Answer: #g'(x)=x/6-7/6#

Explanation:

Find inverse of #g(x)=6x+7#

To find the inverse of any function, we flip the #x# and the #y# in the original function. Here, the #g(x)# is functionally a #y# variable.
So:
#x=6y+7#

Now we solve for #y# as for a normal function:
#x-7=6y#

#y=x/6-7/6#

We can write the inverse function using the following notation:
#g'(x)=x/6-7/6#

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