Show that the function f has an inverse by showing that it is strictly monotonic.f(x) = dt

What will be an ideal response?


f'(x) =  > 0 for all x. Thus, f is monotonic increasing on the whole real line and so it has an inverse there.

Mathematics

You might also like to view...

Find the amplitude, period, or phase shift as specified.Find the amplitude of y = -3 sin (2x + ?).

A. -6
B. ?
C. 3
D.

Mathematics

Find the sum of the finite geometric series.The first 6 terms of the series whose terms are an = 2n

A. S6 = 1.3125 B. S6 = 58.96875 C. S6 = 3.9375 D. S6 = 1.96875

Mathematics

Find the domain and range of the function.f(x) = (x + 2)2 + 9

A. Domain: (-9, ?); range: (-?, ?) B. Domain: (9, ?); range: (-?, ?) C. Domain: (-?, ?); range: (-9, ?) D. Domain: (-?, ?); range: [9, ?)

Mathematics

Identify the given number as "Rational", "Irrational", or "Not a real number". If the number is rational, give its exact value. If the number is irrational, give a decimal approximation to the nearest thousandth.

A. Not a real number B. Rational, 5 C. Irrational, 12.500 D. Rational, 12.500

Mathematics