Please help.

The function of t(n) has an input variable of n and an output variable of t. t(n) = 8·n+3/2. What is the equation for the inverse function n(t)?
A. n(t) = 4t+12
B. n(t)= t/4-3
C. n(t)= 8t-24
D. n(t)= 2t-3/8

I know the answer is B, I just don't know how to get to that answer. Please explain how to solve an inverse like this.

Please help The function of tn has an input variable of n and an output variable of t tn 8n32 What is the equation for the inverse function nt A nt 4t12 B nt t4 class=

Respuesta :

The equation of the inverse function is given as n(t) = (t+3)/4

Inverse of a function

Given the function that is represented as;

[tex]t(n)=8\cdot\frac{n+3}{2}[/tex]

This is further simplified to have:

t(n) = 4(n + 3)

Replace t with t(n)

t = 4n - 3

Make n the subject of the formula

4n = t+3

n = (t+3)/4

Hence the equation of the inverse function is given as n(t) = (t+3)/4

Learn more in inverse function here: https://brainly.com/question/11735394

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