Let f(x) = 4x - 5 and g(x) = 6x - 3. find f(x) - g(x)?

Solution:

The domain of f(x) - g(x) consists of the values of x that are in the domain of f and the domain of g.

It is given that

f(x) = 4x - 5

g(x) = 6x - 3

We know that (f - g)(x) = f(x) - g(x)

Substituting the values

(f - g)(x) = (4x - 5) - (6x - 3)

By further calculation

= 4x - 5 - 6x + 3

So we get

= -2x - 2

Taking -2 as common

= -2(x + 1)

Therefore, f(x) - g(x) is -2(x + 1).

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Let f(x) = 4x - 5 and g(x) = 6x - 3. find f(x) - g(x)?

Summary:

If f(x) = 4x - 5 and g(x) = 6x - 3 then the value of f(x) - g(x) is -2(x + 1).