SOLUTION: 1) Given the formula f(a+h)-f(a)/h (2a^2+4ah+2h^2+4a+4h+5)-(2a^2+4a+5)/h 2) Determine the domain of g(x)=4/x-9, h(x)=6/(x-5)(x-3) The answers I got were All R:x=/-9, R:x=

Question 145845: 1) Given the formula f(a+h)-f(a)/h
(2a^2+4ah+2h^2+4a+4h+5)-(2a^2+4a+5)/h
2) Determine the domain of g(x)=4/x-9, h(x)=6/(x-5)(x-3)
The answers I got were
All R:x=/-9, R:x=/5,-3
3)Given -2x^2-3x+4=0 Use the quadratic formula to solve for the roots.
4)given h(x)=(3x+2. for x>=0)
(5x-1. for x<0)
find h(8) and h(-6)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
1) Given the formula [f(a+h)-f(a)]/h
[(2a^2+4ah+2h^2+4a+4h+5)-(2a^2+4a+5)]/h
= [4ah + 2h^2 +4h]/h
------
Comment: You did not post the function you are working with
but there should not be a 2h^2 term in f(a+h)
-------------
2) Determine the domain of the following:
g(x)=4/(x-9)
Domain: All Real Numbers except x = 9
-------------------------
h(x)=6/(x-5)(x-3)
Domain: All Real Numbers except x = 5 and x = 3
-------------------------
3)Given -2x^2-3x+4=0 Use the quadratic formula to solve for the roots.
x = [3 +- sqrt(9-4*-2*4)]/-4
x = [3 +- sqrt(41)]/-4
--------------------------
4)given h(x)=
(3x+2. for x>=0)
(5x-1. for x<0)
find h(8) = 3*8+2 = 26
------------
and h(-6) = 5*-6-1 = -31
--------------------------------------
Cheers,
Stan H.

RELATED QUESTIONS
Let f be the function defined by f(x)=2x^2+5. Find f(a+h), f(-a), f(a^2), f(a-2h),... (answered by solver91311,josgarithmetic)

Thank you in advance for helping me with this function problem. I am trying the... (answered by oscargut)

Will someone please look this over to make sure I have it solved correctly? Using the... (answered by dabanfield)

If f(x) = 2x^2 + 6x - 5, then [f(x + h) - f(x)]/h = a. 6x + 3h - 4 b. 4x + 2h - 3... (answered by THANApHD)

Given that f(x) = 3x + 2 g(x) = 2x - 5 and h(x) = (5x + 3)/3 (answered by josgarithmetic)

We are doing a worksheet in algebra 2 and I am extremely confused on some of the... (answered by MathLover1)

if f(x)=(x^2)-2x, then f(2+h)= a. (h^2)+ 4h +3 b. (h^2)+8h+3 c. (h^2)+2h+3 d.... (answered by josgarithmetic)

If g(x)=x^2-2x+5, find and simplify g(x+h)-g(x)/h g(x+h) = (x+h)^2 - 2(x+h) + 5 = x^2... (answered by tinbar)

Match the corresponding function formula with each function when h(x) = 3x + 2 and g(x) = (answered by stanbon)