Question: Gives a formula for a function y = (x). In each case, find -1 (x) and identify the domain and range of -1

Gives a formula for a function y = ƒ(x). In each case, find ƒ^-1(x) and identify the domain and range of ƒ^-1. As a check, show that ƒ(ƒ^-1(x)) = ƒ^-1(ƒ(x)) = x.

ƒ(x) = (1/2)x - 7/2

Step by Step Solution

★★★★★

3.34 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To find the inverse function of x we first replace x with ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Precalculus Questions!

Gives a formula for a function y = (x). In each case, find -1 (x) and identify the domain and range of -1 . As a check, show that ( -1 (x)) = -1 ((x)) = x. (x) = x 2 - 2x, x 1

Gives a formula for a function y = (x). In each case, find -1 (x) and identify the domain and range of -1 . As a check, show that ( -1 (x)) = -1 ((x)) = x. (x) = 1/x 2 , x > 0

Gives a formula for a function y = (x). In each case, find -1 (x) and identify the domain and range of -1 . As a check, show that ( -1 (x)) = -1 ((x)) = x. (x) = x 4 , x 0

Gives a formula for a function y = (x). In each case, find -1 (x) and identify the domain and range of -1 . As a check, show that ( -1 (x)) = -1 ((x)) = x. f(x) = x + 3 2 x X

Gives a formula for a function y = (x). In each case, find -1 (x) and identify the domain and range of -1 . As a check, show that ( -1 (x)) = -1 ((x)) = x. and constant f(x) x + b x - 2' b> -2

Gives a formula for a function y = (x). In each case, find -1 (x) and identify the domain and range of -1 . As a check, show that ( -1 (x)) = -1 ((x)) = x. f(x) = Vx x - 3

Gives a formula for a function y = (x). In each case, find -1 (x) and identify the domain and range of -1 . As a check, show that ( -1 (x)) = -1 ((x)) = x. (x) = x 2 - 2bx, b > 0 and constant, x b

Gives a formula for a function y = (x). In each case, find -1 (x) and identify the domain and range of -1 . As a check, show that ( -1 (x)) = -1 ((x)) = x. (x) = 1/x 3 , x 0

Gives a formula for a function y = (x). In each case, find -1 (x) and identify the domain and range of -1 . As a check, show that ( -1 (x)) = -1 ((x)) = x. (x) = x 3 + 1

Gives a formula for a function y = (x). In each case, find -1 (x) and identify the domain and range of -1 . As a check, show that ( -1 (x)) = -1 ((x)) = x. (x) = x 5

A tank (A) filled with oil at 689 kPa is to be used to feed a second tank (B) using gravity- driven flow. The elevation difference between the tanks is 40 m and the second tank is maintained at 344...

Example 1 in this section included results from a study of the effects of color on creativity, and the results below were used to study the effects of color on cognition. Words were displayed on a...

EXERCISE 3-11. Costing Units Completed and Ending Work In Process Howell Super Server produces a single model, the HM24, in a continuous production process. Eighty percent of materials are added at...

Can you think of ways that you have been influenced by subtle rewards or punishments that come through everyday experiences? In those situations, did it feel to you as though you were the passive...

The price p (in dollars) and the quantity x sold of a certain product obey the demand equation P = 1/6 x + 100 (a) Find a model that expresses the revenue R as a function of x. (Remember, R = xp.)...

The price p (in dollars) and the quantity x sold of a certain product obey the demand equation P = -1/3 x + 100 (a) Find a model that expresses the revenue R as a function of x. (b) What is the...

If f(x) = x 2 - 4, find f(-2).

Job Cost Sheet $1,050 720 Remnant Carpet Company sells and installs commerdal carpeting for office buildings. Remnant Carpet Company uses a job order cost system. When a prospective customer asks for...

premium approach In contrast, the Taylor Company is dosely held and therefore, cannot generate reliable inputs with which to apply the CAPM method to estimates cost of internal equity retained...

The board characteristics that would increase earnings management in a company are: I. Having a large portion of independent directors on the board. II. Having unskilled directors on the board. III....