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

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