SOLUTION: If f(x) = 4x + 3, evaluate f(x+h). If g(x) = x², evaluate g(x+h). If f(x) = -x + 1, evaluate f(x+h). If f(x) = -x + 1, evaluate f(x-h). Use the quadratic formula to sol

Algebra.Com
Question 1000126: If f(x) = 4x + 3, evaluate f(x+h).
If g(x) = x², evaluate g(x+h).
If f(x) = -x + 1, evaluate f(x+h).
If f(x) = -x + 1, evaluate f(x-h).
Use the quadratic formula to solve the equation: x² - x - 1 = 0.

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
If f(x) = 4x + 3, evaluate f(x+h).
f(x+h) = 4(x+h)+3 = 4x + 4h + 3
-------------------------------------
If g(x) = x², evaluate g(x+h)
g(x+h) = (x+h)^2 = x^2 + 2hx + h^2
--------------------------------------
etc.
If f(x) = -x + 1, evaluate f(x+h).
If f(x) = -x + 1, evaluate f(x-h).
Use the quadratic formula to solve the equation:
x² - x - 1 = 0.
x = [1 +- sqrt(1-4*1*-1)]/(2) = (1+sqrt(5))/2 or (1-sqrt(5))/2
--------------
Cheers,
Stan H.
---------------
(

RELATED QUESTIONS

If f(x) = 4x + 3, evaluate f(x+h). If g(x) = x², evaluate g(x+h). If f(x) = -x + 1, (answered by Boreal,Alan3354)
Evaluate [f(x+h)-f(x)]/h and simplify if f(x)=2x^2 + x +... (answered by Boreal,Fombitz,rothauserc)
Evaluate [f(x+h)-f(x)]/h and simplify if... (answered by jim_thompson5910)
Evaluate [f(x+h)-f(x)]/h and simplify if f(x)=x^2+x+1 Help please! (answered by jim_thompson5910)
Evaluate H(9), where h= (g ○ f) f(x)= 1/x-8; g(x)=x^2+8... (answered by Fombitz)
Evaluate h(9), where h = (g ○ f) f(x) = 1/x-8; g(x) = x^2 + 8... (answered by Fombitz)
Evaluate and simplify {{{ f(x+h)/h -f(x)/h }}} if h≠0 and {{{ f(x)= x^2-3x+5 }}} (answered by stanbon)
Evaluate h(2), where h=gºf. f(x)= 1/2x+1,... (answered by MathLover1,ikleyn)
If f(x)= 8+x squared, g(x)=4x-3 divided by 5, h(x)= x+4, evaluate h(-6)[f(2)+g(7)]... (answered by ewatrrr)