SOLUTION: simplify this polynomial function:f(x)=3x^2+2x-1 and g(x)=5x+7 g(f(3))

Algebra.Com
Question 318023: simplify this polynomial function:f(x)=3x^2+2x-1 and g(x)=5x+7
g(f(3))

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the first function.


Plug in .


Square to get .


Multiply and to get .


Multiply and to get .


Combine like terms.


-------------------------------------------


Now move onto the second function.


Plug in


Plug in on the right side.


Multiply 32 and 5 to get 160


Add 160 to 7 to get 167.


So the solution is

RELATED QUESTIONS

find (f . g)(x) and (g . f)(x) for each function f(x)=-6x+9, g(x)=5x+7... (answered by lyra)
For each pair of functions, find (f+g)(x), (f-g)(x), and (fg)(x)...Then evauluate each... (answered by tutorcecilia)
Let f(x)=5x+2 and g(x)=2x^2+3x.... (answered by Cromlix)
The given function is f(x) = 2x^2 and g(x) = 3x+1 Find: 1.) f(x)^2 2.)... (answered by CubeyThePenguin)
3. If f(x)=square root 2x^2-1 and g(x)=x^1/2, find (and simplify) a) (f+g)(x) b)... (answered by CPhill)
Find the following f[g(x)] if f(x)=3x-7 and... (answered by John10)
find the following g[f(x)] if f(x)=3x-7 and... (answered by Gogonati)
For the function f(x) = 5x^2 - 2x and g(x) = 4x -9, find and simplify (f - g)(x) (answered by Alan3354)
let f(x) = 3x^2 + 2x -1 and g(x) = 5x + 7 find (fog)(-2)... (answered by josgarithmetic,ikleyn,MathTherapy)