Question

F(x)=-3x+8, find f^-1(x) then state whether f^-1(x) is a function

Answer 1

Look at the answer of the pic

Answer 2

-3x + 8 = y

-3x = y - 8

3x = 8 - y

x = (8-y)/3

Now interchanging x and y:-

y = (8-x)/3

Here, y is inverse function i.e. f⁻¹(x)

Hence, f⁻¹(x) = (8-x)/3

Since f⁻¹(x) is a linear expression of x, therefore it is a function.

Explanation: