Question

Use the graph that shows the solution to f(x)=g(x) .

f(x)=1/x−2

g(x)=x−2



What is the solution to f(x)=g(x) ?

Select each correct answer.




−1

1

2

3

Use the graph that shows the solution to f(x)=g(x) .

f(x)=x^2+4x+2

g(x)=(1/2)^ x+1



What is the solution to f(x)=g(x) ?




x=−1

x = 0

x = 2

x = 3

Answer 1

Answer:

1.  x=3   x=1

2.  x=0

Step-by-step explanation:

We want f(x) to equal g(x)

f(x)=g(x)

1/(x-2) = (x-2)

Using cross products

1 = (x-2) * (x-2)

1 = x^2 -2x-2x+4

Subtract 1 from each side

1-1 = ^2 -2x-2x+4-1

0 = x^2 -4x+3

Factoring

What number multiplies to 3 and adds to -4

-3*-1 = 3

-3+-1 = -4

0= (x-3) (x-1)

Using the zero product property

x-3 =0     x-1=0

x=3   x=1

2.  f(x)=x^2+4x+2

g(x)=(1/2)^ x+1

From the graph,we can see they intersect at x=0

Answer 2

The solution to f(x) = g(x) is 1 and 3

The functions are given as:

• Function f(x): $f(x) = \frac{1}{x -2}$
• Function g(x): $g(x) = x - 2$

To determine the solution to f(x) = g(x), we start by plotting the graphs of f(x) and g(x).

See attachment for the graph

From the attached graph, we have the following points of intersection at:

x = 1 and x = 3

Hence, the solution to f(x) = g(x) is 1 and 3

Read more about graph solutions at:

https://brainly.com/question/14323743