Question

Desperate for help lol

Answer 1

Hi there! See the Identity below in the box:

`\large \boxed{(f - g)(x) = f(x) - g(x)}`

We are also given that:

• f(x) = 0
• g(x) = 7x+9

Substitute both values in the equation.

`\large{(f - g)(x) = 0 - (7x + 9)} \\ \large{(f - g)(x) = - (7x + 9)}`

Recall the property:

• (-)(-) = +
• (+)(+) = +
• (-)(+) = -
• (+)(-) = -

Same sign multiplying the same sign = + while opposite = -

Using the distribution property, distribute the negative sign in 7x+9. Since 7x+9 are positive for both terms - distributing in would turn the expression in negative form.

`\large{(f - g)(x) = - 7x - 9}`

Hence, the answer is -7x-9.

Questions about the problem and my answer or explanation can be asked through comment.

Furthermore, (f-g)(x) is like a factored form of f(x)-g(x).

Hope this helps, and Happy Learning! :)