Inverse Functions and Relations, assignment help

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znlnq42

Mathematics

Description

Which of the following shows the graph of the inverse of the function below?

y = x2 ­ - 4

A.

B.

C.

D.



If f(-4) = 5, which of the following could not be the inverse of f(x)?


g(x) = x - 9

g(x) = x^2 - 11

g(x) = x^2 - 5x - 4

g(x) = -x^2 + 3x + 6


Which of the following is the inverse of the function below?


Which of the following is the inverse of the function below?

y = -3x - 6


y = -x/3 - 2

y = x/3 + 2

y = 3x + 6

y = -x/3 + 2


Which of the following is the inverse of the function below?
y = -2x - 1


y = 2x + 1

y = x/2 + ½

y = ­x/2 + ½

y = -x/2 - ½


Which of the following graphs shows the inverse of the graph below?

A.

B.

C.

D.



Which of the following graphs shows the inverse of the graph below?

A.

B.

C.

D.



If f(2) = 10, which of the following could be the inverse of f(x)?


g(x) = 10x^2 - 2x

g(x) = 2x^3 - 10x

g(x) = x^3 + 2

g(x) = x^2 - 9x - 8


Find the inverse of the relation {(6, 11), (-2, 7), (0, 3), (-5, 3)}


{(6, 11), (-2, 7), (0, 3), (-5, 3)}

{(-6, -11), (2, -7), (0, -3), (5, -3)}

{(-11,-6),(-7, 2), (-3, 0), (-3, 5)}

{(11,6),(7, -2), (3, 0), (3, -5)}


Find the inverse of the relation {(-1, -2), (-3, -2), (-1, -4), (0, 6)}


{(1, 2), (3, 2), (1, 4), (0, -6)}

{(-2, -1), (-2, -3), (-4, -1), (6, 0)}

{(2, 1), (2, 3), (4, 1), (-6, 0)}

{(-1, -2), (-3, -2), (-1, -4), (0, 6)}

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Explanation & Answer

The solutions are ready. Please ask if something is unclear.

1. 𝑦 = 𝑥 2 − 4 ≥ −4. Thus on the graph of the inverse relation 𝑥 must be ≥ −4.
So the answer is C.

2. If 𝑓(−4) = 5, then must be 𝑔(5) = −4. It is not so for the second option
(52 − 11 = 14 ≠ −4).

3. Solve for 𝑥 𝑦 =

3𝑥−5
2

: 2𝑦 = 3𝑥 − 5, 𝑥 =

2𝑦+5
3

. Thus the inver...


Anonymous
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