Question

What is the inverse of the function below?

f(t)=2t+6

a) f ⁻¹ (t)=− 1/2 t
b) f ⁻1 (t)=log 2 (t+6)
c) f ⁻¹ (t)=6+log(t)
d) None of the above

Answer 1

The inverse of the function f(t) = 2t + 6 is f⁻¹(t) = (t - 6) / 2.

Step-by-step explanation:

The inverse of the function f(t) = 2t + 6 is given by f-1(t) = (t - 6) / 2. To find the inverse, we need to solve the equation for t. Let's start by replacing f(t) with t:

t = 2f-1(t) + 6

Substitute f-1(t) with y:

t = 2y + 6

Next, solve for y:

(t - 6) / 2 = y

Therefore, the inverse of the function f(t) = 2t + 6 is f-1(t) = (t - 6) / 2.