Question

Given f of x is equal to the quantity x plus 3 end quantity over the quantity x squared plus 2 times x minus 3 end quantity and g(x) = log4x, evaluate (g – f )(2).

negative one half
0
one half
1

Answer 1

The value of (g-f)(2) can be found by first finding the value of f(2) and g(2), and then subtracting f(2) from g(2).

f(2) = (2+3)/(2^2+(2*2)-3) = 5/7
g(2) = log4(2)

Therefore, (g-f)(2) = g(2) - f(2) = log4(2) - 5/7. Since log4(2) is approximately 0.5, we can estimate that (g-f)(2) is approximately 0.5 - 5/7 = -1/14.

So the answer is negative one half. I THINKKK