SOLUTION: Given the function f(x) = -5x + 4 Find: a. f(-6) b. f(c) c. f(x + h) d. f(x + h) - f(x) e. f(a + h) - f(a)/ h means over h

Algebra ->  Rational-functions -> SOLUTION: Given the function f(x) = -5x + 4 Find: a. f(-6) b. f(c) c. f(x + h) d. f(x + h) - f(x) e. f(a + h) - f(a)/ h means over h       Log On


   

Question 182712: Given the function f(x) = -5x + 4 Find:
a. f(-6)
b. f(c)
c. f(x + h)
d. f(x + h) - f(x)
e. f(a + h) - f(a)/ h means over h
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
Given the function f%28highlight%28x%29%29+=+-5%2Ahighlight%28x%29+%2B+4 Find:
a. f(-6)
b. f(c)
c. f(x + h)
d. f(x + h) - f(x)
e. f(a + h) - f(a)/ h means over h
:
I will do a, b , and d and you do the rest
:
f(x) simply means that for every x term in the function you will substitute in -the given value for x. See highlights in first line above.
:
a)
f%28highlight%28-6%29%29=-5highlight%28-6%29%2B4=30%2B4=red%2834%29
:
b)
f%28highlight%28c%29%29=-5highlight%28c%29%2B4=red%28-5c%2B4%29
:
d)
f%28highlight%28x%2Bh%29%29=-5highlight%28%28x%2Bh%29%29%2B4=-5x-5h%2B4
f%28highlight%28x%29%29=-5highlight%28x%29%2B4=-5x%2B4
so f%28x%2Bh%29-f%28x%29=-5x-5h%2B4-%28-5x%2B4%29=red%28-5h%29