Question 834855: If a and h are real numbers, find the following values for the given function.
f(x) = 7 − 3x
(a)
f(a)
Incorrect: Your answer is incorrect.
(b)
f(−a)
(c)
−f(a)
(d)
f(a + h)
(e)
f(a) + f(h)
(f)
f(a + h) − f(a)
h
, if h ≠ 0
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! If a and h are real numbers, find the following values for the given function.
f(x) = 7 − 3x
(a)
f(a) = 7-3a
------------------------
(b)
f(−a) = 7-3(-a) = 7+3a
------------------------
(c)
−f(a) = -(7-3a) = 3a-7
------------------------
(d)
f(a + h) = 7 -3(a+h) = 7-3a-3h
------------------------
(e)
f(a) + f(h) = (7-3a)+(7-3h) = 14-3a-3h
------------------------
(f)
if h ≠ 0,
[f(a + h) − f(a)]/h = {[7-3a-3h]-[7-3a]}/h = [-3h]/h = -3
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Cheers,
Stan H.
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