If f(x) = 2x-3 and g(x) = x+1 find fog(3) and gof(-2)?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

f(x) = 2x-3

g(x) = x+1

 

`f_og(3)` means that we get the value of f(x) when x = g(3)


g(x) = x+1

g(3) = 3+1 = 4

 

`f_og(3) ` = f(4) = 2(4)-3 = 5

 

`g_of(-2)` means that we get the value of g(x) when x = f(-2)

f(x) = 2x-3

f(-2) = 2*-2-3 = -7

 

`g_of(-2) ` = g(-7) = -7+1 = -6

 

Therefore;

`f_og(3) = 5`

`g_of(-2) = -6`

 

 

Approved by eNotes Editorial Team

Posted on

Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial