Answer with explanation please

For [tex]f(x) = 4x + 1[/tex] and (x) = [tex]g(x)= x^{2} -5,[/tex] find [tex](\frac{g}{f}) (x)[/tex]a. [tex]\frac{x^{2} - 5 }{4x +1 },x[/tex] ≠ [tex]-\frac{1}{4}[/tex]b. x[tex]\frac{4 x +1 }{x^{2} - 5}, x[/tex] ≠ ± [tex]\sqrt[]{5}[/tex]c. [tex]\frac{4x +1}{x^{2} -5}[/tex]d.[tex]\frac{x^{2} -5 }{4x + 1}[/tex]

Simplify the rational expression. state any restrictions on the variable. t^2-4t-12 / t-8 the / is a fraction sign.

Aceiling fan with 16-in. blades rotates at 45 rpm. a) find the angular speed of the fan in rad/min. b) find the linear speed of the tips of the blades in in./min. * teacher said to not use the formulas (don't use ω=[tex]\frac{θ}{t}[/tex]/[tex]v=\frac{s}{t}[/tex]) and just use conversion method. i'm kind of