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Find the inverse of f(x)=1/2x Write your answer in terms of g(x).

Sagot :

Absor201idn

Answer:

The inverse of f is

[tex]g(x) = 2x[/tex]

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=\frac{1}{2}x[/tex]

A function g is the inverse of function f if for y = f(x), x = g(y)

[tex]y=\frac{1}{2}x[/tex]

Replace x with y

[tex]x=\frac{1}{2}y[/tex]

Solve for y

[tex]y = 2x[/tex]

Therefore, the inverse of f is

[tex]g(x) = 2x[/tex]

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