Question

let $f(x)=x^{2}-13$ and $h(x)=x-15$. find $(f-h)(3)$.

$(f-h)(3)=\square$
(simplify your answer. type an integer or a fraction.)

Explanation:

Step1: Define $(f-h)(x)$

$(f-h)(x) = f(x) - h(x)$

Step2: Substitute given functions

$(f-h)(x) = (x^2 - 13) - (x - 15) = x^2 - x + 2$

Step3: Evaluate at $x=3$

$(f-h)(3) = 3^2 - 3 + 2$

Step4: Calculate the result

$(f-h)(3) = 9 - 3 + 2$

Answer:

$8$