some girl asked almost the same problem we must have the same class but
for this function y=logbase3[x+6]-4
the domain would be x>-6
and would be (-inf,inf)
I know you plug 0 into x for the y int can some show me how you get the answer and also the equation of the functions asymptote I know this is alot but if someone could please help it would make my day
p.s what would the graph look like
2007-11-19 06:29:15 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The asymptote is x = -6 (because that is where the domain starts.
The x-intercept is found by setting y = 0.
0 = log(base3) of (x+6) - 4
4 = log(base3) or (x+6)
3^4 = x + 6
81 = x + 6
x = 75
2007-11-19 10:50:58 · answer #1 · answered by MsMath 7 · 0⤊ 0⤋
I am supposing that the hard part is calculating logbase3.
In general logbase3(z) = logbase10(z)/logbase10(3).
(This rule works if you substitute ln (natural log) for both logbase10s in this formula.)
To see the graph, put this formula into the graphing calculator shown in the source below:
log(x+6)/log(3)-4
2007-11-20 07:38:20 · answer #2 · answered by Roger the Mole 7 · 0⤊ 0⤋