Solve the problem.Show that g(x) =  is an increasing function of x.

What will be an ideal response?


Notice that g'(x) =  is positive for all values of x. Therefore g is increasing everywhere.

Mathematics

You might also like to view...

The two triangles below are similar. Find the unknown side lengths.

A. x = 3 B. x = 4 C. x = 6 D. x = 9

Mathematics

Simplify the expression. ? ? Write the answer without using exponents. ?

A. -12 B. -1 C. 1 D. 12

Mathematics

Use the formula for the sum of the first n terms of a geometric sequence to solve.Find the sum of the first 9 terms of the geometric sequence: 3, 9, 27, 81, 243, . . . .

A. 29,560 B. 29,503 C. 29,525 D. 29,523

Mathematics

Solve the problem.One half of a number is 3 more than one-sixth the same number. What is the number?

A. 18 B. 9 C. 8 D. 12

Mathematics