# Calculus (math)

posted by Karly

Write a formula for f^-1 (x) if f(x) = (x+5)/(3x-4) and state the domain of f-1

1. Steve

y=(x+5)/(3x-4)
3xy - 4y = x + 5
x(3y-1) = 4y+5
x = (4y+5)/(3y-1)

so, f^-1(x) = (4x+5)/(3x-1)
The domain is all reals except x = 1/3

Note that 1/3 is the horizontal asymptote of f(x). Since f cannot take on the value of 1/3, that value is excluded from the domain of f^-1(x)

## Similar Questions

1. ### Pre-calculus

Given the following values for f(t): t : f(t) 3 : -7 6 : 6 9 : 19 12 : 6 15 : -7 18 : 6 a) What is the period, frequency, midline, amplitude, maximum, and minimum?
2. ### calculus

let f(x)=sqrt(x-3), g(x)=sqrt(x^2+3) Find a formula for f*g and state the domain of the composition
3. ### Calculus

let f(x)=(7+x)/(7-x), g(x)=7x/(7-x) Find formula for f*g and state the domain of the composition
4. ### calculus

Write a formula for f^-1 (x) if f(x) = (x+5)/(3x-4) and state the domain of F^-1
5. ### calculus

for the given functions f&g, find the following and state the domain of each result. f(x)=5x+4/7x-8; g(x)=2x/7x-8 a.(f+g)(x)= ?
6. ### calculus

for the given functions f&g, find the following and state the domain of each result. f(x)= 5x+4/7x-8; g(x)= 2x/7x-8 a. (f+g)(x)=?
7. ### calculus

for the given functions f and g, find the following and state the domain of each. f(x)=square root x; g(x)=5x-1 a. (f*g)(x)= ?
8. ### math

For the given functions f & g find the following and state the domain of each result. f(x)square root x;g(x)=5x-1 a.(f*g)(x)= What is the domain of f*g?
9. ### math

Bronze is an alloy or mixture of the metals copper and tin. The properties of bronze depends on the percentage of copper in the mix. A chemist decides to study the properties of a given alloy of bronze as the proportion of copper is …
10. ### Calculus

Piecewise function x if −2≤x≤0; x^2 if −2<x<0; 8-x. If if −2≤x≤3; (d) Write down an analytic formula for f^{-1}, and state its domain and range.

More Similar Questions