SOLUTION: Let f(x) = 29 x^2 + 3x + 4 . Determine a formula for g(x) = f(x+15) . Answer: g(x) = ?? Steps and answer would be nice. Thank you.

Algebra.Com
Question 882117: Let f(x) = 29 x^2 + 3x + 4 . Determine a formula for g(x) = f(x+15) .

Answer: g(x) = ??

Steps and answer would be nice. Thank you.
Found 2 solutions by josgarithmetic, Edwin McCravy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
g(x) will still be a function. You are supposed to replace x with x+15 in the function f, and then simplify.
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
f(x) = 29x2 + 3x + 4

Replace every x by (x+15)

f((x+15)) = 29(x+15)2 + 3(x+15) + 4

f(x+15) = 29(x+15)(x+15) + 3x+45 + 4

f(x+15) = 29(x2+30x+225) + 3x+45 + 4

f(x+15) = 29x2+870x+6525 + 3x+45 + 4

f(x+15) = 29x2+873x+6574

g(x) = f(x+15) = 29x2+873x+6574

Edwin
RELATED QUESTIONS

For the following function, write a formula in simplest form where {{{ (g*f)(x) }}} , {{{ (answered by Fombitz)
Let f(x) = 3x+2 and g(x) = 2x+A. Find a value for A so that f(g(x)) = g(f(x)).... (answered by Edwin McCravy)
For f(x)=x^2-3x-4, and g(x)=x-4... Evaluate and simplify the following: a) for what... (answered by MathLover1)
1. Let f(x)= (x^2)-5 and g(x)= (3x)^2. Find g(f(x)). ANSWER CHOICES A.... (answered by jim_thompson5910)
I don't understand functions, I really need help. 17.) Let f(x)= 5x and g(x)=-2x-3.... (answered by josgarithmetic)
If f(x)=x^2+3x-5 and g(x)=2x-3 Determine each a) x when f(x)=g(x) b) g^-1(-5) Thank (answered by ewatrrr)
f g, f-g, fg and f/g. determine the domain for each function f(x) f(x)=3x+4, g(x)=x+3... (answered by stanbon)
Let f(x)=(2x^2)/(x^2-1) and g(x)=e^(x^2-4). Solve for x the equation g(x)=16. Find... (answered by MathLover1)
Let f (x)=|x-4| and g(x)+ 2.Find f o g and g o f Thank you for... (answered by stanbon)