Question

If f(x) = 3 – 2x and g(x)=1/x+5, what is the value of (f/g)(8)

Answer 1

f(x) = 3 – 2x , g(x)=1/x+5

Required to find= (f/g)(8)

f/g = 3 -2x / (1/x + 5)

= 3 - 2x/ ((1+5x)/x)

=x(3-2x)/(1+5x)

then f/g(8) = x(3-2x)/(1+5x) = 8(3 - 2(8) / (1 + 5(8)) = 8(3 - 16) / (1 + 40) = 8(-13)/41 = 104/41 = 2.54(approx.)