1
Functions
In mathematics, a function is a relation between asetof inputs and a set of permissible outputs
with the property that each input is related to exactly one output.
We define the following functions as:
f(x) = 2x+5, g(x) = x -3, h(x) =(7-x)/3;
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In order to find out (f - h) (4), we need to find (f - h) and then evaluate the composite
function at x=4.
As f(x) = 2x+5 and h(x) =(7-x)/3;
(f- h)(x) is given by f(x) - h(x);
f(x) - h(x) = 2x+5 –(7-x)/3
= (3(2x+5) – (7 – x) ) / 3
=(6x + 15 – 7 + x ) / 3
= (7x + 8) / 3
We plug x = 4 in the above formulae to get the value of
(f - h)(4) = (7 * 4 + 8 ) / 3
= (28 + 8) / 3
= 36/3 = 12
Answer: (f - h) (4) =12.
