Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

For all the values of x,
f(x)=2x^2 and g(x)=x+1
Solve fg(x)=gf(x)

Sagot :

jacobEwing

Answer:

if f(g(x)) = g(f(x)), then x is equal to zero.

Step-by-step explanation:

given:

f(x) = 2x²

g(x) = x + 1

then:

f(g(x)) = 2(x + 1)²

g(f(x) = 2x² + 1

so if:

f(g(x)) = g(f(x))

then:

2(x + 1)² = 2x² + 1

2(x² + 2x + 1) = 2x² + 1

2x² + 2x + 1 = 2x² + 1

2x = 0

x = 0

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.