# If #f(x)=x+1# and #(f@g)(x)=x^2+3x+2#, which of the following is g(x)?

##
A) x+2

B) #x^2+3x#

C)#x^2+3x-1#

D)#x^2+3x+1#

E)#(x+1)^2(x+2)#

A) x+2

B)

C)

D)

E)

##### 2 Answers

Mar 17, 2018

#### Answer:

D)

#### Explanation:

Proposing

we have

now comparing coefficients

hence

so the answer is D)

Mar 18, 2018

#### Answer:

#### Explanation:

Since the function

**Quick check :**

Thus

So