SOLUTION: For the given functions f and g , find the indicated composition. f(x) = 7xsquared - 5x, g(x) = 17x - 4 (f,g)(6)

Algebra ->  Functions -> SOLUTION: For the given functions f and g , find the indicated composition. f(x) = 7xsquared - 5x, g(x) = 17x - 4 (f,g)(6)      Log On


   

Question 218311: For the given functions f and g , find the indicated composition.
f(x) = 7xsquared - 5x, g(x) = 17x - 4
(f,g)(6)
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
For the given functions f and g , find the indicated composition.

f%28x%29+=+7x%5E2+-+5x, g%28x%29+=+17x+-+4

(f,g)(6)=f(g(6))

Step 1. Find g(6)=17*6-4=98.

Step 2. Next substitute g(6)=98 into f(g(6))=f(98)

f%2898%29=7%2A98%5E2-5%2A98

f%2898%29=67228-490=66738

Step 3. ANSWER: f%28g%286%29%29=f%2898%29=66738

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

And good luck in your studies!

Respectfully,
Dr J
http://www.FreedomUniversity.TV