SOLUTION: Consider the function F and G defined by F(x)={{{(x-6)/(2x+5)}}} and G(x)={{{(x^4-16)/(3x-7)}}} A){{{(G/F) *(6)}}}

Algebra ->  Finance -> SOLUTION: Consider the function F and G defined by F(x)={{{(x-6)/(2x+5)}}} and G(x)={{{(x^4-16)/(3x-7)}}} A){{{(G/F) *(6)}}}       Log On


   

Question 499261: Consider the function F and G defined by F(x)=%28x-6%29%2F%282x%2B5%29 and G(x)=%28x%5E4-16%29%2F%283x-7%29
A)%28G%2FF%29+%2A%286%29
Found 2 solutions by John10, oberobic:
Answer by John10(297) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Try to find (G/F)(x) first then you substitute x = 6 to find (G/F)(6) = ?
John10:)

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+%28x-6%29+%2F+%282x%2B5%29
.
g%28x%29+=+%28x%5E4+-+16%29+%2F+%283x+-+7%29
.

.
g%28x%29%2Ff%28x%29%2A6+=+6%2Ag%28x%29%2Af%28x%29%5E%28-1%29
.

.
x%5E4+-+16+=+%28x%5E2%2B4%29%28x%5E2-4%29
.
x%5E2+-+16+=+%28x%5E2%2B4%29%28x%2B2%29%28x-2%29
.

.
etc.