Better Students Ask More Questions.
For what value of x is gof(x) = fog(x) if f(x)=8x+12 and g(x)=3x-6.
1 Answer | add yours
We are given f(x) = 8x + 12 and g(x) = 3x - 6. We have to determine the value of x for which fog(x) = gof(x)
fog(x) = gof(x)
=> f(g(x)) = g(f(x))
=> f(3x - 6) = g(8x + 12)
=> 8(3x - 6) + 12 = 3(8x + 12) - 6
=> 24x - 48 + 12 = 24x + 36 - 6
=> -36 = 30
This is not possible.
fog(x) is not equal to gof(x) for any value of x.
Posted by justaguide on June 20, 2011 at 3:55 AM (Answer #1)
Join to answer this question
Join a community of thousands of dedicated teachers and students.