(09.06) For two functions, f(x) and g(x), a statement is made that f(x) = g(x) at
x = 5. What is definitely true about x = 5? (2 points)
Both f(x) and g(x) cross the x-axis at 5.
O Both f(x) and g(x) cross the y-axis at 5.
Both f(x) and g(x) have a maximum or minimum value at x = 5.
Both f(x) and g(x) have the same output value at x = 5.

Both f(x) and g(x) have the same output value at x = 5

Step-by-step explanation:

When we are writing a function, while x gives the input value, writings like f(x), g(x) or h(x) will represent the output values of the input value of x

Now, looking at the relation, we are told that the value of f(x) = g(x) at x = 5

What this mean is that at x = 5; the output value of g(x) is the same as the output value of f(x)

Hence, we can conclude that both functions have the same output value at the given input value of x = 5

asdfghkl

step-by-step explanation:

asdfghkl

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3