Question

If f(x) = 3 - 2x and g(x)
=
1
X+ 5, what is the value of
(6)
(8)?

Answer 1

-169

Explanation:

An Arithmetic Combination states that two functions f and g at any x i.e in the domain of both f and g, with one exception.

The quotient is not defined at values of x, where g is equal to 0 or we can say that both the functions must be defined at a point for the combination to be defined.

Given: f(x) = 3-2x and g(x) =

Then, using arithmetic combination of function definition:

......[1]

Now, first find the value of f(9) and g(8) ;

f(8) =3-2(8) = 3-16 = -13 and

Substitute these in equation [1] ;

Therefore, the value of (f/g)(8) is; -169