Question

For f (x) = 3x +1 and g(x) = x2-6, find (f×g)(x).​

Answer 1

Solving (f×g)(x) we get $3x^3+x^2-18x-6$

Step-by-step explanation:

We are given:

f(x)=3x+1

g(x)=x^2-6

We need to find (f×g)(x)

Solving:

$(f\times g)(x)=f(x).g(x)\\f(x).g(x)=(3x+1)(x^2-6)\\f(x).g(x)=3x(x^2-6)+1(x^2-6)\\f(x).g(x)=3x^3-18x+x^2-6\\f(x).g(x)=3x^3+x^2-18x-6$

So, Solving (f×g)(x) we get $3x^3+x^2-18x-6$

Keywords: Composite functions

Learn more about Composite functions at:

• brainly.com/question/2456302
• brainly.com/question/1949601
• brainly.com/question/1869697
• brainly.com/question/1900154

#learnwithBrainly