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Determining the Input Value That Produces the Same Output

Value for Two Functions

If f(x) = -3x + 4 and g(0) = 2, solve for the value of x

for which f) = 9(26) is true

2=0.5

3

2

1

-2

2

3

Intro

Done

Respuesta :

Corrected Question

If f(x) = -3x+4 and g(x) = 2, solve for the value of x for  which f(x) = g(x) is true.

Answer:

[tex]x=\dfrac{2}{3}[/tex]

Step-by-step explanation:

Given the functions:

  • f(x) = -3x+4
  • g(x) = 2

When f(x)=g(x), we have:

-3x+4=2

Collect like terms by subtracting 4 from both sides

-3x+4-4=2-4

-3x=-2

Divide both sides by -3 to solve for x.

[tex]\dfrac{-3x}{-3}=\dfrac{-2}{-3}\\ x=\dfrac{2}{3}\\$Therefore, $f(\dfrac{2}{3})=g(\dfrac{2}{3})[/tex]

We conclude therefore that at [tex]x=\dfrac{2}{3}[/tex] , the values of f(x) and g(x) are equal.

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