Question

1. - / 12.5 points 0/100 submissions used find the inverse function of f. f(t) = 4t + 1 f⁻¹(t) =

Explanation:

Step1: Replace \( f(t) \) with \( y \)

Let \( y = 4t + 1 \)

Step2: Swap \( t \) and \( y \)

We get \( t = 4y + 1 \)

Step3: Solve for \( y \)

Subtract 1 from both sides: \( t - 1 = 4y \)
Divide both sides by 4: \( y=\frac{t - 1}{4} \)

Step4: Replace \( y \) with \( f^{-1}(t) \)

So \( f^{-1}(t)=\frac{t - 1}{4} \)

Answer:

\(\frac{t - 1}{4}\)