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1. Graph the system of equations.2. What are all the values for x for which f(x)=g(x)?

1. Graph the system of equations.2. What are all the values for x for which f(x)=g-example-1

1 Answer

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Solution:

Given the system of equations:


\begin{gathered} f(x)=-x^2+6x-4 \\ g(x)=|x-3|-1 \end{gathered}

1) The graphs of the system of equations are as shown below:

2) Values of x for which


f(x)=g(x)

From the graph of the system of equations, the points at which the graph functions cut or intersect each other, give the solution of the system of equations.

Thus, in the graph of the system of equations, the functions intersect each other at the point (1,1) and (5,1) as shown below:

Thus, the values of x for which f(x) = g(x) are


\begin{gathered} x=1,\text{ } \\ x=5 \end{gathered}

1. Graph the system of equations.2. What are all the values for x for which f(x)=g-example-1
1. Graph the system of equations.2. What are all the values for x for which f(x)=g-example-2
User Frabjous
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