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An equation that defines y as a function f of x is given.a) Solve the equation for y in terms of x, and replace y with the function notation f(x).b) Find f(6).x + 2y = 11a) Solve the equation for y in terms of x, and replace y with the function notation f(x).f(x) =(Simplify your answer. Use integers or fractions for any numbers in the expression.)

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Solution

a)

[tex]\begin{gathered} x\text{ + 2y = 11} \\ \\ 2y\text{ = 11 - x} \\ \\ y\text{ = }\frac{11\text{ - x}}{2} \\ \\ f(x)\text{ = }\frac{11\text{ - x}}{2} \end{gathered}[/tex]

b)

[tex]\begin{gathered} f(x)\text{ = }\frac{11\text{ - x}}{2} \\ \\ f(6)\text{ = }\frac{11\text{ - 6}}{2} \\ \\ f(6)\text{ = }\frac{5}{2} \end{gathered}[/tex]

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