SOLUTION: for what value(s) will the constant k will the following function NOT be it's own inverse?
f(x)=(x-k)/(x-1)
Algebra.Com
Question 911269: for what value(s) will the constant k will the following function NOT be it's own inverse?
f(x)=(x-k)/(x-1)
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Attempting just to find a formula for the inverse, as expected.
Look at the function definition.
x<>1 because f is undefined there.
x=0 makes for f=k, a constant.
x=k makes f=0.
We want to know a certain value for k so that f has either a different inverse or has no inverse.
k=0, f is just a more specific function.
k=1, then , which is a constant.
For , f will be the line , a HORIZONTAL LINE, the same "y" for all values of x. If you reflect this over the line , this forms the inverse RELATION, . This is NOT a function; because it is a VERTICAL LINE, and has infinite values of y for just one value of x.
For what value(s) will the constant k will the following function NOT be it's own inverse?
ANSWER: .
RELATED QUESTIONS
For what value(s) of k does the equation x^1/logx=k have a solution? (answered by Edwin McCravy)
the inverse of f(x)=k(x^3+x-2) is a function and f^-1(-12)=-1. What is the value of... (answered by vleith)
for what value(s) of k will the graph of y = x^2-3x+k
a) touch the x-axis
b) never (answered by jim_thompson5910)
For what value(s)of k will the graph of y=3x^2+(k+2)x+3 touch the x-axis at exactly one... (answered by josmiceli)
For what value(s) of k will the function h(x)=4x^2-kx +25 have only one zero? Explain... (answered by Theo)
Given the function f(x)=2x^2+3x-1, find the value(s) of k so that f(k+2)=-2. Express... (answered by MathLover1)
For what value(s) of K will the equation 3xsquared=k-2x have real... (answered by stanbon)
calculate for which value(s) of k the equetion (x^2+2x-11)÷2(x-3)=k will have no real... (answered by swincher4391)
Consider the following p.d.f. Of a random variable X.
F(x)=1/10(2x+1), 1 (answered by rothauserc)
For what value(s) of k will the equation kx^2+(k+1)x-1=0 have exactly one solution?
My... (answered by jim_thompson5910)