We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
46
1
avatar

Let  \(f(x) = ax+b\) , where \(a\) and \(b\) are real constants, and \(g(x) = 2x - 5\) . Suppose that for all \(x\) , it is true that \(g(f(x)) = 3x + 4\). What is \(a+b\)?

 Oct 30, 2019
 #1
avatar+19832 
+1

g(f (x) ) =   2(ax+b) -5     for all x , this equals 3x+4    solve for a and b

2ax+2b - 5 = 3x+4

2ax = 3x     and   2b-5 = 4

a = 3/2       and  b = 9/2           I think you can add these together for the answer....   cheeky

 Oct 30, 2019

20 Online Users

avatar
avatar