The graph of f(x) = 6(0.25)x and its reflection across the y-axis, g(x), are shown. On a coordinate plane, 2 exponential functions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y -axis at (0, 6). Function g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 6). What is the domain of g(x)? all real numbers all real numbers less than 0 all real numbers greater than 0 all real numbers greater than or equal to 0

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Answer:

Domain is all real no. of x

Step-by-step explanation:

f(x) = 6(0.25^x)

Is defined for all real no.s of x

g(x) is a reflection of f(x) along the y-axis:

g(x) = -f(x) = -6(0.25^x)

Also defined for all x

The correct answer is   Domain will be all real numbers less than equal to 0.

What is domain?

  • All the possible values of x for the which function is defined is known as domain  

What is coordinate plane?

A space enclosed by a two perpendicular axis is known as Coordinate plane.

How many  perpendicular axis are this in coordinate plane?

  • There are two perpendicular axis
  • (a) X- axis
  • (b) Y - axis

How to solve the Problem?

  • Function g(x) is decreasing from Quadrant 1 to Quadrant 2, while cutting intercept at y=6 for x=0, and approaches to y=0,

hence the domain of Function is (-∞,0]

So ,  Domain will be all real numbers less than equal to 0.

Learn more about domain below.

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