SOLUTION: I would like help in finding how to get the exponential function of the form f(x) = ab^x for which F(0) =15
and if f(-1) =10
Thank you!
Algebra.Com
Question 691894: I would like help in finding how to get the exponential function of the form f(x) = ab^x for which F(0) =15
and if f(-1) =10
Thank you!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
f(x) = ab^x
f(0) = ab^(0)
f(0) = ab
15 = ab
b = 15/a
-------------------------------------------------------
f(x) = ab^x
f(-1) = ab^(-1)
f(-1) = a/b^1
f(-1) = a/b
10 = a/b
10 = a/(15/a)
10 = (a^2)/15
10*15 = a^2
150 = a^2
a^2 = 150
a = +-sqrt(150)
a = +-5*sqrt(6)
a = 5*sqrt(6) or a = -5*sqrt(6)
Now use these values of 'a' to find the values of 'b'.
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