22.0k views
1 vote
1) find (f o g)(-6) and (g o f)(-6)
f(x)=5x-1; g(x)=x^2-3
(fog)(-6)=

1 Answer

2 votes

Final answer:

To find (f o g)(-6), substitute -6 into g first and then substitute the result into f. To find (g o f)(-6), substitute -6 into f first and then substitute the result into g.

Step-by-step explanation:

To find (f o g)(-6), we need to substitute -6 into g first and then substitute the result into f.



Plug -6 into g(x) = x^2 - 3:



g(-6) = (-6)^2 - 3 = 36 - 3 = 33



Now substitute the result into f(x) = 5x - 1:



(f o g)(-6) = f(g(-6)) = f(33) = 5(33) - 1 = 165 - 1 = 164



To find (g o f)(-6), we need to substitute -6 into f first and then substitute the result into g.



Plug -6 into f(x) = 5x - 1:



f(-6) = 5(-6) - 1 = -30 - 1 = -31



Now substitute the result into g(x) = x^2 - 3:



(g o f)(-6) = g(f(-6)) = g(-31) = (-31)^2 - 3 = 961 - 3 = 958

User Oyvindio
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories