g=(1/3)× in the form of g-¹

August 21, 2026Mathematics

ScanSolve AI Answer

August 21, 2026

Answer

$g^{-1}(x) = 3x$

Step 1: The given equation is $g = \frac{1}{3}x$ . Step 2: To find the inverse function, $g^{-1}$ , we need to solve for $x$ in terms of $g$ . Step 3: Multiply both sides of the equation by 3: $3g = 3 \times \frac{1}{3}x$ $3g = x$ Step 4: Replace $x$ with $g^{-1}(g)$ and $g$ with $x$ to express the inverse function in terms of $x$ : $g^{-1}(g) = 3g$ $g^{-1}(x) = 3x$

The inverse function is $g^{-1}(x) = 3x$ .

g^{-1(x) = 3x}

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Quick Answer

The given equation is g = (1)/(3)x. Step 2: To find the inverse function, g^-1, we need to solve for x in terms of g.

Asked on August 21, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on August 21, 2026

Step 1: The given equation is g = (1)/(3)x. Step 2: To find the inverse function, g^-1, we need to solve for x in terms of g. Step 3: Multiply both sides of the equation by 3: 3g = 3 × (1)/(3)x 3g = x Step 4: Replace x with g^-1(g) and g with x to express the inverse function in terms of x: g^-1(g) = 3g g^-1(x) = 3x The inverse function is g^-1(x) = 3x. g^-1(x) = 3x Got more? Send 'em 📸