Question

If F(x) = x-3, which of the following is the inverse of F(x)?
A. F^1 (x) = 3 - x
B. F^1 (x) = x+3
C. F^1 (x) = x-3
D. F^1 (X) = 3x

Answer 1

Answer:

B

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = x - 3 ( add 3 to both sides )

y + 3 = x

change y back into terms of x, then

$f^{-1}$(x) = x + 3 → B

Answer 2

The choice which is the inverse of f(x) is Choice B: F^1 (x) = x+3

According to the question;

• The function given is; f(x) = x - 3.
• We are required to find the inverse function of f(x) ; f-¹(x).

The inverse function, f-¹(x) can be found as follows;

• y = x - 3

Solving the equation for x; we have;

• x = y + 3.

By swapping x and y; we have;

• y = x +3

Consequently;

• f-¹(x) = x + 3

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