SOLUTION: Find the following for the function f 4x^2+4x-3 . (a) f (0)=-3 did this one (b) f (1)=5 did this one (c) f (-1)=-3 did this one are the first 3 right? (d) f (-x)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the following for the function f 4x^2+4x-3 . (a) f (0)=-3 did this one (b) f (1)=5 did this one (c) f (-1)=-3 did this one are the first 3 right? (d) f (-x)       Log On


   

Question 990864: Find the following for the function f 4x^2+4x-3
.
(a) f (0)=-3 did this one
(b) f (1)=5 did this one
(c) f (-1)=-3 did this one are the first 3 right?
(d) f (-x)
(e) -f(x)
(f) f(x+1)

(g) f(5x)
(h) f(x+h)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the following for the function f(x) = 4x^2+4x-3

(a) f (0)=-3 did this one
(b) f (1)=5 did this one
(c) f (-1)=-3 did this one are the first 3 right?
Yes, they're right.
=====================
(d) f(-x)
Sub -x for x
f(-x) = 4(-x)^2 + 4(-x) - 3
= 4x^2 - 4x - 3
==================
(e) -f(x)
Multiply f(x) by -1.
-----------
(f) f(x+1)
Sub x+1 for x
= 4(x+1)^2 + 4(x+1) - 3
--------
(g) f(5x)
(h) f(x+h)
Same as above.