BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.1, Problem 19E
To determine

To evaluate f(x)=2x+1 at a number, we substitute the number for x in the definition of f(x) .

Expert Solution

Answer to Problem 19E

The valuesof the given functionare:

  f(1)=3,f(2)=3,f(12)=2,f(a)=2a+1,f(a)=2a+1,f(a+b)=2a+2b+1

Explanation of Solution

Given information: consider the function f(x)=2x+1

Calculation:

Evaluate the values of the function f(x)=2x+1 for the given values of the variable x

Plug the value x=1, in the function f(x)=2x+1 then we get the value of f(1).

  f(1)=2(1)+1f(1)=2+1f(1)=3

Plug the value x=2, in the function f(x)=2x+1 then we get the value of f(2).

  f(2)=2x+1f(2)=2(2)+1f(2)=4+1f(2)=3

Plug the value x=12, in the function f(x)=2x+1 then we get the value of f(12).

  f(12)=2(12)+1f(12)=2(12)+1f(12)=1+1f(12)=2

Plug the value x=a, in the function f(x)=2x+1 then we get the value of f(a).

  f(a)=2(a)+1f(a)=2a+1

Plug the value x=a, in the function f(x)=2x+1 then we get the value of f(a).

  f(a)=2(a)+1f(a)=2a+1

Plug the value x=a+b, in the function f(x)=2x+1 then we get the value of f(a+b).

  f(a+b)=2(a+b)+1f(a+b)=2a+2b+1

Thus, the valuesof the given functionare:

  f(1)=3,f(2)=3,f(12)=2,f(a)=2a+1,f(a)=2a+1,f(a+b)=2a+2b+1

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