Question

If u(t) = 4t - 5, v(t) = $t^2$ and f(t) = $\frac{1}{t}$, then u(f(v(t))) is

• A. $\frac{1}{(4t-5{)}^2}$
• B. $\frac{4}{(t-5)}$
• C. $\frac{4}{t^2}-5$
• D. None of these

Answer 1

The correct option is C $\frac{4}{t^2}-5$

u(f(v(t))) $=u\left(f\right(t^2\left)\right)=u\left(\frac{1}{t^2}\right)=\left(\frac{4}{t^2}\right)-5$