Question

State is a given functions are inverses. NO LINKS!! Part 2

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Answer 1

9514 1404 393

Answer:

none of the function pairs are inverses

Explanation:

Inverse linear functions will meet all of several requirements:

• each is a reflection of the other about the line y=x
• the solution of the simultaneous equations in on the line y=x
• in standard form, the coefficients are swapped (only)
• the product of the slopes is 1

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For these problems, it is probably easiest to look at the last requirement. Each function is given in slope-intercept form, so the slope is simply the x-coefficient.

5) The product of slopes is (-2)(-1) = 2 ≠ 1 . . . NOT inverses

6) The product of slopes is (-1)(1/3) = -1/3 ≠ 1 . . . NOT inverses

7) The product of slopes is (-4/3)(-1/2) = 2/3 ≠ 1 . . . NOT inverses

8) The product of slopes is (3/2)(-5/2) = -15/4 ≠ 1 . . . NOT inverses

Answer 2

Explanation:

5.

g(x)=-2x+1

let y=2x+1

Interchanging role of x & y

x=2y+1

y=½x-½

g-¹(x)=½(x-1)

not

equal to f(x)=-x+1

Given function are not function of each other .

6.

g(x)=-x

let

y=-x

Interchanging role of x & y

x=-y

y=-x

g-¹(x)=-x

not

equal to f(x)=3+⅓x

Given function are not function of each other .