210k views
1 vote
If f(x)=2x-6 and g(x)=x^3 what is (g f)(0)

User Cwick
by
8.8k points

2 Answers

3 votes

Answer:

Step-by-step explanation:216

User ZbMax
by
8.3k points
2 votes

Hello!

The answer is:


(g\circ f)(0)=-216

Why?

To composite functions, we need to evaluate functions in another function(s), for example:

Given f(x) and g(x), if we want to calculate f(x) composite g(x), we need to evaluate g(x) into f(x).

So, we are given the functions:


f(x)=2x-6\\g(x)=x^(3)

And we are asked to calculate g(x) composite f(x), and then evaluate "x" to 0, so, calculating we have:


(g\circ f)(x)=g(f(x))\\\\(g\circ f)(x)=(2x-6)^(3)

Now that we have the composite function, we need to evaluate "x" equal to 0, so:


(g\circ f)(0)=(2x-6)^(3)\\\\(g\circ f)(0)=(2*(0)-6)^(3)=(0-6)^(3)=-6*-6*-6=-216

Hence, we have that:


(g\circ f)(0)=-216

Have a nice day!

User Jamix
by
7.8k 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