Compound Functions

This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 25
Joined: Wed Mar 04, 2015 5:16 pm
Location: India
Thanked: 1 times

Compound Functions

by Priyaranjan » Thu Nov 26, 2015 9:39 pm
Q. If g(x)= 3x+√x, what is the value of g(d^2+6d+9)

Ans. Can I solve this way?

d^2+6d+9= (d+3)(d+3)= d= -3

g(-3)= 3(-3)+√-3= -9-√3.

GMAT Instructor
Posts: 2630
Joined: Wed Sep 12, 2012 3:32 pm
Location: East Bay all the way
Thanked: 625 times
Followed by:119 members
GMAT Score:780

by Matt@VeritasPrep » Thu Nov 26, 2015 11:15 pm
You can't, because you don't know that d² + 6d + 9 = 0. You could, however, say that

g(d² + 6d + 9)

= 3(d² + 6d + 9) + √(d² + 6d + 9)

= 3d² + 18d + 27 + √(d² + 6d + 9)

But we'd need more info from here.