Wednesday

August 27, 2014

August 27, 2014

Posted by **Alyn** on Monday, February 9, 2009 at 9:12pm.

I tried to factor 2x^2+4x+1 but ended up with something that didn't work. Am I missing something here? I'm so lost.

Thanks in advance,

Alyn

- calculus - functions! -
**Reiny**, Monday, February 9, 2009 at 9:33pmsince the resulting h(x) is quadratic, g(x) must have been quadratic

let g(x) = ax^2 + bx + c

then

f(g(x)) = 2(ax^2 + bx + c) + 1

= 2ax^2 + 2bx + 2c+1

but this is equal to 2x^2 + 4x + 1

so 2a = 2 , a = 1

2b = 4, b = 2

2c+1 = 1, c = 0

so g(x) = x^2 + 2x

**Related Questions**

calculus - A landscape architect wishes to enclose a rectangular garden on one ...

calculus - A brick becomes dislodged from the top of a state building (at a ...

Math - a wall in front of a house is shown below if 3/5 of the wall is brick how...

Calculus - Sketch the region enclosed by the given curves.? Decide whether to ...

Physics - A 14,245N auto with a velocity of 6.0m/s crashes into a brick wall. If...

Physics - A 14,245N auto with a velocity of 6.0m/s crashes into a brick wall. If...

math - A ladder leans against a brick wall, The top of the ladder touches the ...

math - A brick wall is constructed with 20 rows of bricks. If the height of a ...

optimization calcus - A rectangular rose garden will be surrounded by a brick ...

physics - a snow ball at 0 degrees celsius is thrown against a brick wall. if ...