A rational function of the form f(x) = (a/(x-1))+k, has a y-intercept of 4 and an x-intercept of 2. What is the value of "a" and "k"?

Science & Mathematics by Anonymous 2018-06-11 00:34:00

Social Science

3 answers

Anonymous

4 = -a + k 0 = a + k a = -2 k = 2 See Graph https://www.desmos.com/calculator/tcrkhy...
Anonymous

y-intercept of 4 --->f(0)=4 and x-intercept of 2 --->f(2)=0 solve 2 equations for the values of a , k
Anonymous

f(x) = (a/(x-1)) + k 4 = (a/(0-1)) + k ... k = 4 + a 0 = (a/(2-1)) + k ... k = -a <<< add both . . . . . . . . . . . . . 2k = 4 ... k = 2 .... k = -a .... a = -2