Math help please this is my last question

Answer: f(x) and g(x) are inverse functions
Step-by-step explanation:
[tex]Let f^{-1}(x) = y\\f^{-1}(x) = y = \frac{7x - 2}{4} \\4y = 7x - 2\\x = \frac{4y+2}{7}\\x = f^{-1}(y)=\frac{4y+2}{7}\\ So, f^{-1}(x) = \frac{4x+2}{7} = g(x)[/tex]
f(x) and g(x) are inverse functions