SOLUTION: Please help me find these function *find a function defined by f(x) = ab^x f(0)= 13.1 f(7) = 17.4 *find a function defined by g(x) = cd^x f(0) = 4.9 F(7) = 8.7

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help me find these function *find a function defined by f(x) = ab^x f(0)= 13.1 f(7) = 17.4 *find a function defined by g(x) = cd^x f(0) = 4.9 F(7) = 8.7      Log On


   

Question 770811: Please help me find these function
*find a function defined by f(x) = ab^x
f(0)= 13.1 f(7) = 17.4

*find a function defined by g(x) = cd^x
f(0) = 4.9 F(7) = 8.7
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
find a function defined by f%28x%29+=+ab%5Ex
if given f%280%29=+13.1, means for x=0 => f%28x%29=+13.1; so, you will have
13.1+=+ab%5E0....since b%5E0=1
highlight%2813.1+=+a%29
now we can use given f%287%29+=+17.4 to find b
17.4+=+13.1b%5E7
17.4%2F13.1=b%5E7
1.33=b%5E7
b=root%287%2C1.33%29
b=1.041581
highlight%28b=1.0415%29

so, your function is: f%28x%29+=+13.1%281.0415%29%5Ex


*find a function defined by g%28x%29+=+cd%5Ex do this one same way
if f%280%29+=+4.9 => 4.9+=+cd%5E0 => highlight%28c=4.9%29
now find d
F%287%29+=+8.7=> 8.7+=+4.9%2Ad%5E7 => 8.7%2F4.9+=+d%5E7%29 => 1.78+=+d%5E7%29 => root%287%2C1.78%29+=+d%29 =>highlight%28d=++1.0858%29

g%28x%29+=+4.9%281.0858%29%5Ex