Carlson Pearson

07/24/2024 · High School

Let \( f(x)=7 x+2 \) and \( g(x)=4 x-5 \). Find \( (f+g)(x),(f-g)(x),(f g)(x),\left(\frac{f}{g}\right)(x),(f \circ g)(x) \), and \( (g \circ f)(x) \). Give the domain of each \( (f+g)(x)=11 x-3 \) (Simplify your answer.) The domain of \( f+g \) is \( (-\infty, \infty) \). (Type your answer in interval notation.) \( (f-g)(x)=3 x+7 \) (Simplify your answer.) The domain of \( f-g \) is \( (-\infty, \infty) \). (Type your answer in interval notation.) (fg) \( (x)=28 x^{2}-27 x-10( \) Simplify your answer. Do not factor.) The domain of \( f g \) is \( (-\infty, \infty) \). (Type your answer in interval notation.) \( \left(\frac{f}{g}\right)(x)=\frac{7 x+2}{4 x-5} \) (Simplify your answer.) The domain of \( \frac{f}{g} \) is \( \left(-\infty, \frac{5}{4}\right) \cup\left(\frac{5}{4}, \infty\right) \). (Type your answer in interval notation.) (f०g)(x) \( =\square \) (Simplify your answer.)