an exponential function f(x) is reflected across the x - axis to create the function g(x). which is a true…

an exponential function f(x) is reflected across the x - axis to create the function g(x). which is a true statement regarding f(x) and g(x)?\nthe two functions have the same initial value.\nthe two functions will cross each other on the axis.\nthe two functions have reciprocal output values of each other for any given input value.\nthe two functions have opposite output values of each other for any given input value.

an exponential function f(x) is reflected across the x - axis to create the function g(x). which is a true statement regarding f(x) and g(x)?\nthe two functions have the same initial value.\nthe two functions will cross each other on the axis.\nthe two functions have reciprocal output values of each other for any given input value.\nthe two functions have opposite output values of each other for any given input value.

Answer

Brief Explanations:

When a function (y = f(x)) is reflected across the (x -)axis, the transformation rule is (y=-f(x)). For any input (x), the output of (g(x)) is the negative of the output of (f(x)). Initial - value is when (x = 0), and reflection across (x -)axis changes its sign. They won't cross on the (x -)axis as they are mirror - images with respect to (x -)axis. Reciprocal values are not related to (x -)axis reflection.

Answer:

The two functions have opposite output values of each other for any given input value.