Which of the following functions are their own inverses? Select all that apply.

a. t (p) = p

b. y (j) = - 1/j

c. w (y) = - 2/y

d. d (p) = 1/x^2

Question

Mathematics

Aiden Mercer

3 September, 18:36

Which of the following functions are their own inverses? Select all that apply.

a. t (p) = p

b. y (j) = - 1/j

c. w (y) = - 2/y

d. d (p) = 1/x^2

+2

Answers (1)

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Flint · Answer 1

A function is its own inverse if it is symmetrical about the line y=x. This is the case for functions t, y, w. Function d (x) = 1/x^2 is symmetrical about the line x=0, but is not symmetrical about the line y=x.

The appropriate choices are ...

a. t (p) = p

b. y (j) = - 1/j

c. w (y) = - 2/y

Which of the following functions are their own inverses? Select all that apply.a. t (p) = pb. y (j) = - 1/jc. w (y) = - 2/yd. d (p) = 1/x^2

Which of the following functions are their own inverses? Select all that apply.

a. t (p) = p

b. y (j) = - 1/j

c. w (y) = - 2/y

d. d (p) = 1/x^2