Indicate any pair(s) of functions which are inverses of each other.

Simplify the log:  log b 

Indicate any pair(s) of functions which are NOT inverses of each other.

BONUS: Solve the equation algebraically showing all work on your paper and upload at the end on the last problem of the test. Give an exact answer. Also give approximate solutions to 4 decimal places, if necessary. Fill-in-the-blank below. 33x – 3 = 25x – 4                  x= [a] Credit given only if you show work on your own paper and upload on the last problem of the test

Solve the logarithmic equation and express the solution in exact form (no decimals or rounding) log (3 + x) – log (x – 5) = log 2  Fill-in-the-blank:  x  = [a]

Solve the exponential equation showing all work. 97x + 3 = 27SHOW WORK: This problem requires you to show work of how you solved this equation algebraically. At the end of the test, scan and upload work to the last problem.

Select and Fill-in-the-Blanks: The function defined by f (x) = (x + 3)2 ; x ≥ 0 [verb1] a one-to-one function, while the similar function g(x) = x2 – 9; x ≥ -3 [verb2] a one-to-one function. 1.

Solve the exponential equation showing all work.                         275x – 3 = 9SHOW WORK: This problem requires you to show work of how you solved this equation algebraically. At the end of the test, scan and upload work to the last problem.

Decide whether or not the functions are inverses by finding their composition of each other. SHOW WORK: This problem requires you to show work on your paper. At the end of the test, scan and upload work to the last problem. Please work both: (f ∘ g)(x) and (g ∘ f)(x) and then explain why f(x) and g(x) either are or are not inverses. f(x) and g(x) [a] inverses of each other. f(x) = ; domain [3, ∞)      g(x) = 3 – x2, domain ( -∞, 0]

Select/Fill-in-the-Blank:  A function defined by y = f (x) [verb] a one-to-one function if no horizontal line intersects the graph of f in more than one point.