If u ( t ) = 4 t − 5 u(t) = 4t - 5 u ( t ) = 4 t − 5 , v ( t ) = t 2 v(t) = t^2 v ( t ) = t 2 , and f ( t ) = 1 t f(t) = \frac{1}{t} f ( t ) = t 1 ​ ,...

Question

If

u(t)=4t5u(t) = 4t - 5
,
v(t)=t2v(t) = t^2
, and
f(t)=1tf(t) = \frac{1}{t}
, find the formula for
u(f(v(t)))u(f(v(t)))
.

Options

A.

(14t5)2\left(\frac{1}{4t-5}^{ }\right)^2

B.

4t5\frac{4}{t-5}

C.

(2t)25\left(\frac{2}{t}\right)^2-5

D.

None of these

algebrafunctionscomposite functionsfunction evaluation

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