What are the domain and range of the logarithmic function f(x) = log7x? use the inverse function to justify your answers.

Answer with explanation:

The given logarithmic function whose base is, 7 is

Domain of a function is defined as, set of all possible values of , x , for which ,y is defined.

 is defined for,

→ log x > 0.

⇒ x ∈ (0,∞)

And range of a function is defined as those values of y, for which x, is defined.

So, Range = y∈ (0,∞).

The inverse of the above function can be obtained by, replacing, x by y, and y by x , in the above equation:

   So, the inverse of the above function is :

Here, x ∈ (0,∞) and, y ∈ (0,∞).

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

well the answer to that is xoxoxo

step-by-step explanation: