Domain And Range Of The Logarithmic Function F X Log7x

What are the domain and range of the logarithmic function f x log7x.

Domain and range of the logarithmic function f x log7x. Graph the function on a coordinate plane remember that when no base is shown the base is understood to be 10. Use the inverse function tojustify your answers. The domain of f is the same as the range of the inverse function.

X 0 or 0 domain of y log x a. 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. Tap for more steps.

X 0 and range of a function is defined as those values of y for which x is defined. The graph is nothing but the graph y log x translated 3 units down. The range of f is the same as the domain of the inverse function.

The range of a function f consists of all values f x it assumes when x ranges over its domain. From the fact explained above argument must always be a positive value. Domain of y log x in the logarithmic function.

So the values of x must be greater than zero. Use the inverse function to justify your answers. Find the domain and range f x log of 7 x.

Set the argument in greater than to find where the expression is defined. Use the inverse function to justify your answers. The range of f x 2 x 1 is 2.