If f(x) = 5x + 4. Find fof −1 (29) and also find out the graph of the function.?

Answer 1

The question asks about f of f −1 at a given value.

To find that we replace x by (x – 4)/5 in the first equation.

y = 5[(x – 4)/5] + 4 = x

For that function when x = 29 y = 29

If you were referring to the final result the graph would be of y = x

Answer 2

Are you asking for f○f⁻¹(29)?

For any x on the range of f, f○f⁻¹(x) = x, if and only if f has an inverse. In this case, f is a linear function. Its range is the set of all real numbers, and it does have an inverse.

f○f⁻¹(29) = 29

The function graph would be the graph of y = 5x + 4. Surely you must have learned to graph equations of lines long before you began studying function theory.