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Evaluate the function at the given values of [tex]$x$[/tex]. Round to 4 decimal places, if necessary.

[tex] g(x)=6^x [/tex]

Part 1 of 4:
[tex] g(-2)=0.0278 [/tex]

Part 2 of 4:
[tex] g(5.1)= \square [/tex]

Sagot :

GinnyAnsweridn
To evaluate the function [tex]\( g(x) = 6^x \)[/tex] at [tex]\( x = 5.1 \)[/tex], we follow these steps:

1. Substitute [tex]\( x \)[/tex] with 5.1 in the function:
[tex]\[ g(5.1) = 6^{5.1} \][/tex]

2. Calculate [tex]\( 6^{5.1} \)[/tex]. This value is:
[tex]\[ g(5.1) = 9301.893802267823 \][/tex]

3. Round the result to 4 decimal places:
[tex]\[ g(5.1) \approx 9301.8938 \][/tex]

Therefore, [tex]\( g(5.1) \approx 9301.8938 \)[/tex].
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