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Verified Answer :

Let f(x) = y and g(y) = x 
that is  g is inverse function of f 

7x - 13 = y 
7x = y + 13 
x = (y + 13) / 7 
g (y) = (y + 13) / 7 
g (x) = (x + 13) / 7
hope this helps

HomertheGenius

1 )
f ( x ) = 7 x - 13
y = 7 x - 13
- 7 x = - y - 13   / ( -1 )
7 x = y + 13
x = ( y + 13 ) / 7
f^-1( x ) = ( x + 13 ) / 7
2 )
f ( x ) = x² - 16
y = x² - 16
- x² = - y - 16    /(-1 )
x² = y + 16
\(x= \sqrt{ y^{2} +16} \\ f ^{-1}(x) = \sqrt{ x^{2} +16}\)