The function [tex]x=\frac{y}{2}+\frac{3}{2}[/tex] is an inverse function and also a linear function.
The given functions are [tex]g(x)=2x-3, k(x)=-9x^{2} , f(x)=x+21[/tex] and [tex]w(x)=-20[/tex].
Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, [tex]g(x)= 2x-3[/tex]
⇒[tex]y= 2x-3[/tex]
⇒[tex]2x=y+3[/tex]
⇒[tex]x=\frac{y+3}{2} =\frac{y}{2}+\frac{3}{2}[/tex]
Therefore, the function [tex]x=\frac{y}{2}+\frac{3}{2}[/tex] is an inverse function and also a linear function.
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