For the given functions f and g, find the requested composite function value.
-$f ( t ) = \sqrt { t ^ { 4 + 18 t ^ { 2 } + 81 } } , \quad g ( t ) = \frac { t + 3 } { 3 } ; \quad$ Find $( f \circ g ) ( 9 )$.
A) 25
B) 360
C) 31
D) 625

Question

Quizplus · Accepted Answer

First, find $g(9) = \frac{9 + 3}{3} = 4$. Then, $f(g(9)) = f(4) = \sqrt{4^{4} + 18(4)^{2} + 81} = \sqrt{256 + 288 + 81} = \sqrt{625} = 25$.

For the Given Functions F and G, Find the Requested f(t)=t4+18t2+81,g(t)=t+33;f ( t ) = \sqrt { t ^ { 4 + 18 t ^ { 2 } + 81 } } , \quad g ( t ) = \frac { t + 3 } { 3 } ; \quadf(t)=t4+18t2+81​,g(t)=3t+3​;

For the Given Functions F and G, Find the Requested $f ( t ) = \sqrt { t ^ { 4 + 18 t ^ { 2 } + 81 } } , \quad g ( t ) = \frac { t + 3 } { 3 } ; \quad$