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Find the inverse function of f(x)=square root 3x+5

Sagot :

Answer:

[tex]\frac{x^2-5}{3} =y\\[/tex]

Step-by-step explanation:

since it is f(x), we can assume that

[tex]f(x)=y[/tex]

[tex]y=\sqrt{3x+5\\}[/tex]

to find the inverse of a function you just swap the x and y and then solve for y

[tex]x=\sqrt{3y+5\\}[/tex]

[tex]x^2=3y+5[/tex]

[tex]x^2-5=3y[/tex]

[tex]\frac{x^2-5}{3} =y\\[/tex]

Hope that helps :)

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