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# Functions

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If t(x) = 3-g(x) and g(x) = sqrt{x+9}, then what is t(g(16))?

Apr 13, 2022

#1
+578
+3

$$g(x) = \sqrt{16+9}=5$$

Sub $$5$$ into function $$t(x)$$:

$$3-\sqrt{5+9}$$ $$=3-\sqrt{14}$$

Answer is $$3-\sqrt{14}$$

Apr 13, 2022

#1
+578
+3

$$g(x) = \sqrt{16+9}=5$$

Sub $$5$$ into function $$t(x)$$:

$$3-\sqrt{5+9}$$ $$=3-\sqrt{14}$$

Answer is $$3-\sqrt{14}$$

Vinculum Apr 13, 2022