Question 218311
For the given functions f and g , find the indicated composition.


{{{f(x) = 7x^2 - 5x}}}, {{{g(x) = 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(98)=7*98^2-5*98}}}


{{{f(98)=67228-490=66738}}}


Step 3.  ANSWER:  {{{f(g(6))=f(98)=66738}}}


I hope the above steps were helpful.


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And good luck in your studies!


Respectfully,
Dr J

http://www.FreedomUniversity.TV