Question

F(x) = 8x – 3; g(x) = 4x + 5 find (f-g)(x)

Answer 1

Given:

The two functions are $f(x)=8x-3$ and $g(x)=4x+5$

We need to determine the value of the function $(f-g)(x)$

The value of $(f-g)(x)$:

The value of $(f-g)(x)$ can be determined using the formula,

$(f-g)(x)=f(x)-g(x)$

Substituting the values of the function in the above formula, we get;

$(f-g)(x)=8x-3-(4x+5)$

Simplifying, we get;

$(f-g)(x)=8x-3-4x-5$

Adding the like terms, we get;

$(f-g)(x)=4x-8$

Thus, the value of the function $(f-g)(x)$ is $(f-g)(x)=4x-8$