Show that f and g are inverses of each other by verifying that f(g(x)) = x = g(f(x)).f(x) = ; g(x) = 5 - x2

What will be an ideal response?


f(g(x)) = f(5 - x2) =  =  =  = x
g(f(x)) = g() = 5 - ()2 = 5 - (5 - x) = 5 - 5 + x = x

Mathematics

You might also like to view...

Find the slope and y-intercept of the line.y = -10

A. slope = 1; y-intercept = -10 B. slope = 0; no y-intercept C. slope = -10; y-intercept = 0 D. slope = 0; y-intercept = -10

Mathematics

Solve the problem.If the resistance in an electrical circuit is held constant, the amount of current flowing through the circuit is directly proportional to the amount of voltage applied to the circuit. When  are applied to a circuit,  of current flow through the circuit. Find the new current if the voltage is increased to 

A. 336 mA B. 140 mA C. 375 mA D. 350 mA

Mathematics

Solve the equation.x2/3 - 8x1/3 + 15 = 0

A. {-125, -27} B. {27, 125} C. {3, 5} D. {-5, -3}

Mathematics

Find the x- and y-intercepts of the function

a. The x-intercepts are (7, 0) and (3, 0) and the y-intercept is (0, -3). b. There is no x-intercept and the y-intercept is (0, 7). c. The x-intercepts are (-5, 0) and (5, 0) and the y-intercept is (0, 2). d. There is no x-intercept and the y-intercept is (0, -3).

Mathematics