Answer
See an explanation
Work Step by Step
$f(x)=\sqrt{x},$ $g(x)=3x-5$
a.$(f+g)(x)=\sqrt{x}+3x-5$
for all ${x|x \geq 0}$
b.$(f-g)(x)=\sqrt{x}-3x+5$
for all ${x|x \geq 0}$
c. $(f \times g)(x)=(\sqrt{x})(3x-5)=3x\sqrt{x}-5\sqrt{x}$
for all ${x|x \geq 0}$
d. $(f/g)(x)=\frac{\sqrt{x}}{3x-5}$
for all ${x|x \geq 0 \ne \frac{5}{3} }$
e. $(f+g)(3)=\sqrt{3}+9-5=\sqrt{3}+4$
f. $(f-g)(4)=2-12+5=-5$
g. $(f\times g)(2)=\sqrt{2}(1)=\sqrt{2}$
h. $(f/g)(1)=\frac{1}{-2}=-\frac{1}{2}$
