198k views
4 votes
0/1 Points] DETAILS Write the inverse for the function f(x) = 8x + 3 x(f) = x - 8 3 x Need Help? Read It [0/1 Points] DETAILS F Write the inverse for the function. h(t) = 0.3 + 1 t=0 0.2t,t(h) = 5 t-0.3 X

1 Answer

1 vote

Answer:

To find the inverse of a function, we need to interchange the roles of the dependent and independent variables and solve for the new dependent variable.

1. Inverse of f(x) = 8x + 3:

Let y = 8x + 3

To find the inverse, we swap x and y:

x = 8y + 3

Now, solve for y:

x - 3 = 8y

y = (x - 3)/8

Therefore, the inverse of f(x) = 8x + 3 is f^(-1)(x) = (x - 3)/8.

2. Inverse of h(t) = 0.3 + 1/(0.2t):

Let y = 0.3 + 1/(0.2t)

To find the inverse, we swap t and y:

t = 0.3 + 1/(0.2y)

Now, solve for y:

0.2y = t - 0.3

y = (t - 0.3)/0.2

Therefore, the inverse of h(t) = 0.3 + 1/(0.2t) is h^(-1)(t) = (t - 0.3)/0.2.

Explanation:

User Frederic Conrotte
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories