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1 May, 20:34

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

+2
Answers (1)
  1. 1 May, 20:52
    0
    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
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