Question: In Problems 5162, the function f is one-to-one. (a) Find its inverse function f 1 and check your answer. (b) Find the domain and the

In Problems 51–62, the function f is one-to-one.

(a) Find its inverse function f −1 and check your answer.

(b) Find the domain and the range of f and f −1.

(c) Graph f, f −1, and y = x on the same coordinate axes.

f (x) = x2 + 4, x ≥ 0

Step by Step Solution

★★★★★

3.43 Rating (159 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

f x x 2 4 x 0 the function f is onetoone a Find its inverse function f 1 and check your answer b Fin... View full answer

blur-text-image
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!

Q:

If det A = 2, det B = -1, and det C = 3, find: (a) (b) det X B 0 (d) det 0 B 0

Q:

In Exercises 19 through 26, f(x) is a probability density function for a particular random variable X. Use integration to find the indicated probabilities. a. P(0 X b. P(X 2) c. P(X 5) f(x) = 10 0...

Q:

In Exercises 19 through 26, f(x) is a probability density function for a particular random variable X. Use integration to find the indicated probabilities. a. P(X 0) b. P(1 X 2) c. P(X 2) f(x) =...

Q:

In Problems 5572, the function f is one-to-one. (a) Find its inverse function f -1 and check your answer. (b) Find the domain and the range of f and f -1 . f(x) = 2x 3x - 1

Q:

In Problems 5572, the function f is one-to-one. (a) Find its inverse function f -1 and check your answer. (b) Find the domain and the range of f and f -1 . f(x) 3x + 4 2x - 3

Q:

In Problems 5572, the function f is one-to-one. (a) Find its inverse function f -1 and check your answer. (b) Find the domain and the range of f and f -1 . f(x) = x5-2

Q:

In Problems 5572, the function f is one-to-one. (a) Find its inverse function f -1 and check your answer. (b) Find the domain and the range of f and f -1 . f(x) = 2x + 3-5

Q:

In Problems 5572, the function f is one-to-one. (a) Find its inverse function f -1 and check your answer. (b) Find the domain and the range of f and f -1 . f(x)=x +13

Q:

In Problems 51-62, the function f is one-to-one. (a) Find its inverse function and check your answer. (b) Find the domain and the range off and j Graph f. f, and yz on the same coordinate axes. 51....

Q:

In Problems 5572, the function f is one-to-one. (a) Find its inverse function f -1 and check your answer. (b) Find the domain and the range of f and f -1 . f(x) = (x - 1) + 2, x 1

Q:

If the price is $5, unit variable cost is $4 per unit, and fixed cost is $1,800. What is the change in profit if we sell 10 more units? (assume that the new sales volume is still in the relevant...

Q:

In a certain car company, only two different car types, which are electric and hybrid, are produced. 5 % of the electric cars and 25 % of the hybrid cars are over 1500 kg. Moreover, 30 % of total...