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Evaluate the function f(x) = x² +7x+3 at the given values of the independent variable and simplify.a. f(3) b. f(x+7) c. f(-x)a. f(3) = (Simplify your answer.)b. f(x+7)=(Simplify your answer.)c. f(-x)=(Simplify your answer.)

Evaluate The Function Fx X 7x3 At The Given Values Of The Independent Variable And Simplifya F3 B Fx7 C Fxa F3 Simplify Your Answerb Fx7Simplify Your Answerc Fx class=

Answer :

SOLUTION

The given function is

[tex]f(x)=x^2+7x+3[/tex]

a. f(3)

To get f(3) substitute x = 3 into f(x)

[tex]\begin{gathered} f(3)=3^2+7(3)+3 \\ f(3)=9+21+3_{} \\ f(3)=33 \end{gathered}[/tex]

b. f(x+7)

Using the same procedure it follows:

[tex]f(x+7)=(x+7)^2+7(x+7)+3[/tex]

Simplify the expression

[tex]\begin{gathered} f(x+7)=x^2+14x+49+7x+49+3 \\ f(x+7)=x^2+21x+101 \end{gathered}[/tex]

c. f(-x)

This gives

[tex]\begin{gathered} f(-x)=(-x)^2+7(-x)+3 \\ f(-x)=x-7x+3 \end{gathered}[/tex]

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