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Math  /  Algebra

QuestionListen
Evaluate the function for the given value of xx. y=−9(3)x;x=−1y=□0φ\begin{array}{l} y=-9(3)^{x} ; x=-1 \\ y=\square \quad 0_{\varphi} \end{array} □\square

Studdy Solution

STEP 1

1. We are given the function y=−9(3)x y = -9(3)^x .
2. We need to evaluate the function for x=−1 x = -1 .

STEP 2

1. Substitute x=−1 x = -1 into the function.
2. Simplify the expression to find the value of y y .

STEP 3

Substitute x=−1 x = -1 into the function:
y=−9(3)−1 y = -9(3)^{-1}

STEP 4

Simplify the expression:
3−1=13 3^{-1} = \frac{1}{3}
So,
y=−9×13 y = -9 \times \frac{1}{3}
y=−3 y = -3
The value of y y is:
−3 \boxed{-3}

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