Question

Determining the Input Value That Produces the Same Output

Answer 1

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:

$x=\dfrac{2}{3}$

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.

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

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