Answered

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The function g is defined by the following rule.
g(x)=(1/5)^x
Find g(x) for each x-value in the table.

The Function G Is Defined By The Following Rule Gx15x Find Gx For Each Xvalue In The Table class=

Sagot :

MrRoyal

Answer:

[tex]g(-2) = 25[/tex]

[tex]g(-1) = 5[/tex]

[tex]g(0) = 1[/tex]

[tex]g(1) = \frac{1}{5}[/tex]

Step-by-step explanation:

Given

[tex]g(x) = \frac{1}{5}^x[/tex]

Solving (a): When x = -2

This gives:

[tex]g(x) = \frac{1}{5}^{(-2)[/tex]

[tex]g(x) = \frac{1}{5}^{-2[/tex]

[tex]g(x) = 5^2[/tex]

[tex]g(-2) = 25[/tex]

Solving (b) When x = -1

This gives:

[tex]g(x) = \frac{1}{5}^{-1}[/tex]

[tex]g(-1) = 5[/tex]

When x = 0

This gives:

[tex]g(x) = \frac{1}{5}^0[/tex]

[tex]g(0) = 1[/tex]

When x = 1

This gives:

[tex]g(x) = \frac{1}{5}^1[/tex]

[tex]g(1) = \frac{1}{5}[/tex]

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