Question

Graph f(x)=2x 1 and g(x)=−x 4 on the same coordinate plane. What is the solution to the equation f(x)=g(x) ? Enter your answer in the box. X =.

Answer 1

We can equate both the functions to evaluate value of x and that will be the solution of $f(x) = g(x)$.

The solution is given as: $x = 1$

Given that:

• $f(x) = 2x+ 1$

• $g(x) = -x + 4$

To find:

Solution of the equation $f(x) = g(x)$

Substituting values of f(x) and g(x) in given equation:

$f(x) = g(x)\\2x + 1 = -x + 4\\\\\text{Adding x on both the sides}\\2x + x + 1 = -x + x + 4\\3x + 1 = 4\\\\\text{Subtracting 1 from both the sides}\\3x + 1 - 1 = 4 - 1\\3x = 3\\\\\text{Dividing both the sides by 3}\\\dfrac{3x}{3} = \dfrac{3}{3}\\\\x = 1$

Thus, the solution of given equation is given as $x = 1$.

Learn more about solution of linear equations here:

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