Find the Inverse of f(x) = (8x - 4) / 3

Published on September 24, 2026

Algebra

Learn step-by-step how to find the inverse of the linear rational function f(x) = (8x - 4) / 3 by swapping variables and solving for y.

Question

Answer

To find the inverse of the function

, follow these steps:

Step 1: Replace

with

Step 2: Swap

and

to set up the inverse relationship.

Step 3: Solve for

.
Multiply both sides by

Add

to both sides:

Divide by

Step 4: Replace

with

Final Answer:

🚀 Try Free Math Help Now!🏠 Learn More Powerful Features

Related math solutions

Find the Y-Value of a Linear Function at X = -3

This problem asks to determine the y-value for x = -3 on a linear function. The solution involves identifying the line's equation from its graph, which is y = 2x - 4, and then substituting x = -3 to find the corresponding y-value.

Rewrite y + 7 = 1/5(x + 10) in Slope-Intercept Form

Learn how to convert the linear equation y + 7 = 1/5(x + 10) into slope-intercept form by distributing and isolating y to get y = 1/5x - 5.

Find the Slope of the Line y = 3x + 4

Learn how to find the slope of a linear equation by comparing y = 3x + 4 to the slope-intercept form y = mx + b, resulting in a slope of 3.

Prove Re(z+1)/(z-1) = 0 for Complex Number Magnitude 1

Learn how to prove that the real part of the complex expression (z+1)/(z-1) is equal to zero when |z|=1 and z is not equal to 1, using complex conjugates and magnitude properties.

Joint Variation Word Problem: Calculating Kinetic Energy

Learn how to model joint variation, find the constant of proportionality, and calculate kinetic energy given mass and velocity. Follow step-by-step algebra work to solve for joules.

🔎 Explore All Shared Math Solutions