SOLUTION: I am so confused, can you please help me with this question: {{{f(x)=-x^2-3x+5}}} {{{g(x)=(x+3)/(2x-5)}}} {{{g(f(2))}}}

Algebra ->  College  -> Linear Algebra -> SOLUTION: I am so confused, can you please help me with this question: {{{f(x)=-x^2-3x+5}}} {{{g(x)=(x+3)/(2x-5)}}} {{{g(f(2))}}}       Log On


   

Question 93236: I am so confused, can you please help me with this question: f%28x%29=-x%5E2-3x%2B5 g%28x%29=%28x%2B3%29%2F%282x-5%29 g%28f%282%29%29
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If:
f%28x%29+=+-x%5E2-3x%2B5 and
g%28x%29+=+%28x%2B3%29%2F%282x-5%29
Find:
g%28f%282%29%29
First find f%282%29 by substituting 2 for x in the functionf%28x%29+=+-x%5E2-3x%2B5
f%282%29+=+-%282%29%5E2-3%282%29%2B5 Evaluate this.
f%282%29+=+-4-6%2B5
f%282%29+=+-5 Now substitute -5 for x in the functiong%28x%29+=+%28x%2B3%29%2F%282x-5%29
g%28-5%29+=+%28-5%2B3%29%2F%282%28-5%29-5%29
g%28-5%29+=+%28-2%29%2F%28-15%29
g%28-5%29+=+2%2F15
So, g%28f%282%29%29+=+2%2F15