nicoleoviedo7 nicoleoviedo7
  • 11-09-2021
  • Mathematics
contestada


1) Given the function f(x) = 2x -3, evaluate f(3).
2) If the output, f(x) = -1, what was the input (x) for the same function (as
question 1)?

Respuesta :

Happil
Happil Happil
  • 11-09-2021

Answer:

1) [tex]f(3) = 3[/tex]

2) [tex]x = 2[/tex]

Step-by-step explanation:

Given:

[tex]f(x) = 2x -3[/tex]

Evaluating [tex]f(3)[/tex]:

[tex]f(3) = 2(3) -3 \\ f(3) = 6 -3 \\ f(3) = 3[/tex]

Solving for [tex]f(x) = -1[/tex]:

[tex]2x -3 = 1 \\ 2x -3 +3 = 1 +3 \\ 2x = 4 \\ \frac{2x}{2} = \frac{4}{2} \\ x = 2[/tex]

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