Question

X

X
X
What is the inverse function of f(x) = 4 -
6
A f(x)=¹=4-6x
B_1(x)=¹= 6-/
Cf(x)=¹=24-6x
Str
6
D f(x)=¹=24 --
I
-?

Answer 1

`\textsf{C}\quad f^(-1)(x)=24-6x`

Explanation:

You want the inverse function of f(x) = 24 -x/6.

Inverse function

The function relates x to y by y = f(x). The inverse function gives the reverse relation: x = f(y). Solving this for y gives the inverse function in the form you want.

x = f(y)

x = 4 -y/6 . . . . . use definition of f(x)

6x = 24 -y . . . . multiply by 6

y = 24 -6x . . . . add y-6x

f⁻¹(x) = 24 -6x . . . . write using function notation