Problem 50 Solve $f_{1}(x)=f_{2}(x)$ by a... [FREE SOLUTION]

Chapter 1: Problem 50

Solve $f_{1}(x)=f_{2}(x)$ by an algebraic method and by graphing. $$f_{1}(x)=-2 x-11 \quad f_{2}(x)=3 x+7$$

Short Answer

Expert verified

The solution to the equation $f_{1}(x) = f_{2}(x)$ is $x = 0.8$

Step by step solution

Solve algebraically

Set $f_{1}(x)$ equal to $f_{2}(x)$ i.e. $-2x -11 = 3x + 7$. You can simplify this equation to solve for $x$. First, rearrange to get $3x + 2x = 11 - 7$, which simplifies to $5x = 4$. Dividing both sides of the equation by 5 gives us $x = 0.8$.

Graph the functions

Graph the equations $f_{1}(x)=-2x-11$ and $f_{2}(x)=3x + 7$. The point at which the two lines intersect is the solution to the equation. By confirming the intersection point, you can visually confirm whether your algebraic solution is correct or not.

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91影视

Solve \(f_{1}(x)=f_{2}(x)\) by an algebraic method and by graphing. $$f_{1}(x)=-2 x-11 \quad f_{2}(x)=3 x+7$$

Short Answer

Step by step solution

Solve algebraically

Graph the functions

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