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)?

asked Nov 28, 2022 214k views

2 votes

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)?

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5 votes

Answer:

1)
f(3) = 3

2)
x = 2

Explanation:

Given:

f(x) = 2x -3

Evaluating
f(3) :

$f(3) = 2(3) -3 \\ f(3) = 6 -3 \\ f(3) = 3$

Solving for
f(x) = -1 :

$2x -3 = 1 \\ 2x -3 +3 = 1 +3 \\ 2x = 4 \\ (2x)/(2) = (4)/(2) \\ x = 2$

Mcography answered Dec 3, 2022

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