Find the domain and range of the exponential function h(x)=125^x.
explain your findings
as x decreases, does h increase or decrease? explain
as x increases, does h increase or decrease? explain

The domain of the function is all real number and the range of the function is (0,∞).

h decreases as x decreases and h increases as x increases.

Step-by-step explanation:

The general form of an exponential function is

The domain of this function is all real number and the range of the function is all positive real numbers if b>1.

The given function is

Here a=1 and b=125, which is greater than 1. So the domain of the function is all real number and the range of the function is all positive real number excluding 0, i.e., (0,∞).

Since b>1, it means it is a growth function and it has positive relation between x and h. It means h decreases as x decreases and h increases as x increases.

hello from mrbilldoesmath!

answer:

25x^2 + 90x + 84

discussion:

mn(x) = m(n(x)) = m( 5x + 9) =

(5x + 9)^2 + 3 =>

25x^2 + 90x + 9^2 + 3 =

25x^2 + 90x + 84                 (as 9^2 = 9*9 = 81)

which is the second choice

regards,  

mrb

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