Respuesta :

Answer:

[tex]\frac{x-2}{5}[/tex]

Step-by-step explanation:

The inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The inverse function is calculated as:-

y = 5 ( x - 2 )

Replace the variables with each other in the equation.

x = 5 ( y - 2 )

( x/5 ) = y - 2

y = ( x/5 ) + 2

Therefore, the inverse function of the function g(x)=5(x-2) is g(x)⁻¹= [( x/5 )+2 )].

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