Given the function f(x)=7x+3 , evaluate and simplify the expressions below. See special instructions on how to enter your answers.

Given The Function Fx7x3 Evaluate And Simplify The Expressions Below See Special Instructions On How To Enter Your Answers class=

Answer :

9514 1404 393

Answer:

  • 7a+3
  • 7a+7h+3
  • 7

Step-by-step explanation:

Put the argument where the variable is and simplify.

a)

  [tex]f(a)=7a+3[/tex]

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b)

  [tex]f(a+h)=7(a+h)+3=\boxed{7a+7h+3}[/tex]

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c)

  [tex]\dfrac{f(a+h)-f(a)}{h}=\dfrac{(7a+7h+3)-(7a+3)}{h}=\dfrac{7h}{h}\\\\=\boxed{7}[/tex]