Find the inverse. Determine whether the inverne represents a function. live that

Question

Find the inverse. Determine whether the inverne represents a function. live that best completes the statement or answers the question A) ((1, -5), (o,-2), (-1, 3), (-2,-4). (-3, -5)1: a function B) I(-1, 5), (o, 2), (1, -3), (2, 4), (3, 5); a function C) ((5, -1), (2, o), (-3, 1), (4, 2)l: not a function D) ((5,-1), (2, 0), (-3, 1), (4, 2), (5, 3); not a function E) {(1,-5), (0,-2), (-1, 3), (-2.-4), (-3,-5)); not a function The graph of a function f is given. Use the horizontal line test to determine whether f is one-to-one. 2) 5: x 2.5 I. A) I. Yes II. No B)I. Yes IL. Yes C)L No IL. Yes D)I d the inverse function of f. State the domain and range of f. 3) f(x)=x-2 x +2 A)f-I(x)s1-3x; domain off:(xlxz-1); range of f: lyly*11 B)f-1(x)=3x-2; domain off:(xlx÷range of f lyly f-1(x)s-, domain of f: {x | x x +2 1-3x ); range of f: 1 D)f-1(x)-3x-2.; domain of f: 1x1"71; range of f: lylyoY 3x -1 the problem 4) F varies directly with x and inversely with the square root of y. Find the constant of initial condition F = 2 when x = 10 and y = 16. A)k-8 16 D)k=

Explanation / Answer

2. First fails the horizontal line test and second pass the horizontal line test.

So the correct option is C

3.f(x)=y=(x-2)/(3x+1)

switching x and y

x=(y-2)/(3y+1)

3xy+x=y-2

y(3x-1)=-2-x

y=(2+x)/(1-3x)

Domain of f(x)

All real numbers except -1/3

Range of f(x) is the dimain of inverse which is y not equal to 1/3

correct option is C

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