Question

Are the following functions inverses of each other?

f(x)=3x−4, g(x)=______
A) No
B) Yes
C) Maybe
D) Not enough information

Answer 1

The correct answer is option B because without the explicit form of g(x) it is impossible to determine if it is the inverse of f(x) = 3x - 4.

Step-by-step explanation:

The correct answer is option B. Two functions f(x) and g(x) are inverses of each other if and only if applying g(x) to f(x) (or vice versa) returns the original input x for all x in the domain of f. Given f(x) = 3x - 4 to find the inverse function, one would typically swap x and y and solve for y:

• x = 3y - 4
• x + 4 = 3y
• (x + 4) / 3 = y

Therefore, the inverse function would be g(x) = (x + 4) / 3. Since g(x) is not provided, we do not have enough information to determine if the functions are inverses of each other.