Question

g(x)=-4x-5f(x)=3x+2find (g-f)(-9)

Answer 1

The given functions are

$\begin{gathered} g(x)=4x-5 \\ f(x)=3x+2 \end{gathered}$

The expression (g-f)(-9) means we have to subtract these functions, then we have to evaluate them for x = -9.

$(g-f)(x)=g(x)-f(x)=4x-5-(3x+2)$

Now, we simplify this expression

$(g-f)(x)=4x-5-3x-2=x-7$

Therefore, the difference g-f is equal to x-7.

Now, we evaluate for x = -9.

$(g-f)(-9)=-9-7=-16$

Therefore, the difference of the functions when x = -9 is 16.