Given the function f(x) vx-7,(a) Find f(b) Graph f andf in the same rectangular coordinate system.(c) Use interval notation to give the domain and the range of f and f(x).-1()y)(Hint: To solve for a variable involving an nth root, raise both sides of the equation to the nth power,c) State the domain and range of f and f using interval notation.Select the corect choice below and fill in the answer box to complete your choice.(Type your answer in interval notation.)isO A. The domain of f, which is equal to the range of f1isD.The domain of f. which is equal to the domain of fSelect the correct choice below and fill in the answer box to complete your choice.(Type your answer in interval notation.)1Click to select and enter your answer(s).searchhpHEWLE T T PACK ARDinsprt scholl12fef614delet5&7%54backs6RTYUP**K LFGH00

Question
Asked Aug 8, 2019
Given the function f(x) vx-7,
(a) Find f
(b) Graph f andf in the same rectangular coordinate system.
(c) Use interval notation to give the domain and the range of f and f
(x).
-1
()y)
(Hint: To solve for a variable involving an nth root, raise both sides of the equation to the nth power,
c) State the domain and range of f and f using interval notation.
Select the corect choice below and fill in the answer box to complete your choice.
(Type your answer in interval notation.)
is
O A. The domain of f, which is equal to the range of f
1
is
D.The domain of f. which is equal to the domain of f
Select the correct choice below and fill in the answer box to complete your choice.
(Type your answer in interval notation.)
1
Click to select and enter your answer(s).
search
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5
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help_outline

Image Transcriptionclose

Given the function f(x) vx-7, (a) Find f (b) Graph f andf in the same rectangular coordinate system. (c) Use interval notation to give the domain and the range of f and f (x). -1 ()y) (Hint: To solve for a variable involving an nth root, raise both sides of the equation to the nth power, c) State the domain and range of f and f using interval notation. Select the corect choice below and fill in the answer box to complete your choice. (Type your answer in interval notation.) is O A. The domain of f, which is equal to the range of f 1 is D.The domain of f. which is equal to the domain of f Select the correct choice below and fill in the answer box to complete your choice. (Type your answer in interval notation.) 1 Click to select and enter your answer(s). search hp HEWLE T T PACK ARD ins prt sc holl 12 fe f6 14 delet 5 & 7 % 5 4 backs 6 R T Y U P ** K L F G H 00

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Expert Answer

Step 1

(a)

It is given that the function f(x) = √(x – 7).

Obtain the inverse of the function as follows.

Substitute y for f(x) in f(x) = √(x – 7).

y = √(x – 7)

Interchange x and y.

x = √ (y – 7)

Take square on both sides,

x2 = (y – 7)

Step 2

Solve the equation to obtain y.

=(y-7)
Replace y with f(x)
f(x)= x +7
Thus, the inverse function of f(x) Vx-7 is f1(x)=x + 7
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=(y-7) Replace y with f(x) f(x)= x +7 Thus, the inverse function of f(x) Vx-7 is f1(x)=x + 7

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Step 3

Use online graphing calculator to graph the func...

35
30
f" 7+ 'א ((א - .
25
20
15+
10-
(0,7
5
(x)= Vx-7
(7,0)
10
10+
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Image Transcriptionclose

35 30 f" 7+ 'א ((א - . 25 20 15+ 10- (0,7 5 (x)= Vx-7 (7,0) 10 10+

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