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An equation that defines y as a function of x is given.3x-4y=1(a) Solve the equation for y in terms of x, and replace y with function notation f(x).F(x)= _____(Simplify your answer. Use integers or fractions for any numbers in the expression.)

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SOLUTION

[tex]3x-4y=1[/tex]

(a)

Solve the equation for y in terms of x, and replace y with function notation f(x).

[tex]\begin{gathered} 3x-4y=1 \\ -4y=1-3x \\ y=-\frac{1}{4}+\frac{3}{4}x \\ f(x)=-\frac{1}{4}+\frac{3}{4}x \end{gathered}[/tex]

F(x) is;

[tex]F(x)=-\frac{1}{4}+\frac{3}{4}x[/tex]

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