Two functions are defined as shown.

f(x) = f(x) equals negative StartFraction 1 Over 2 EndFraction x minus 2. x – 2

g(x) = –1

Which graph shows the input value for which f(x) = g(x)

Answer :

The two functions are equal for x = 0.

When the functions f(x) and g(x) equal?

The functions f(x) and g(x) are defined as follows:

  • f(x) = 0.5(x - 2).
  • g(x) = -1.

When they are equal, they have the same value, hence:

f(x) = g(x)

0.5(x - 2) = -1

Multiplying both sides by 2:

x - 2 = -2.

x = 0.

The two functions are equal for x = 0.

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