Function Notation Problem: for g(x) = 3x^2-6x, What is g(x + h)?

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TheSheep

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Hey, I am really confused on this problem involving function notation.

Suppose g(x) = 3x^2-6x. What is g(x + h)?

I am not sure how to plug in g(x) when an unidentified h is also in the notation. It is a multiple choice problem and the possible solutions are:

A) 3x^2 + (6h+6)x +(3h^2+6h)
B) 3x^2 + (6h-6)x + (3h^2-6h)
C) 3x^2 - (3h-6)x-(3h^2-6h)
D) 3x^2 + 6x + h

I have been using function notation, but none of the previous problems had an unidentified variable. Am I supposed to multiply or distribute...? Not sure, please help!
 
Last edited:
TheSheep said:
Hey, I am really confused on this problem involving function notation.

Suppose g(x) = 3x^2-6x. What is g(x + h)?
Click to expand...
\(\displaystyle g(x+h)=3(x+h)^2-6(x+h)=~?\)
You do the middle-school part.
 
Last edited:
TheSheep said:
Hey, I am really confused on this problem involving function notation.

Suppose g(x) = 3x^2-6x. What is g(x + h)?

I am not sure how to plug in g(x) when an unidentified h is also in the notation. It is a multiple choice problem and the possible solutions are:

A) 3x^2 + (6h+6)x +(3h^2+6h)
B) 3x^2 + (6h-6)x + (3h^2-6h)
C) 3x^2 - (3h-6)x-(3h^2-6h)
D) 3x^2 + 6x + h

I have been using function notation, but none of the previous problems had an unidentified variable. Am I supposed to multiply or distribute...? Not sure, please help!
Click to expand...
Step 1: Replace x with ( ) in 3x^2-6x resulting in 3( )^2 -6( ).
Step 2: put x+h between ( ) resulting in 3(x+h)^2 -6(x+h)

The above two steps involves NO math at all! None. nada, nyet!,zero!

Step 3: Simplify
 
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