If f(x)=2x-1 and g(x)=5x +1 find g-1(x)

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Answer to a math question If f(x)=2x-1 and g(x)=5x +1 find g-1(x)

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To find the inverse of the function g(x) = 5x + 1, which is denoted as g^(-1)(x), we can follow these steps: Step 1: Replace g(x) with y in the equation: y = 5x + 1 Step 2: Swap the variables x and y: x = 5y + 1 Step 3: Solve the equation for y: x - 1 = 5y y = (x - 1) / 5 Step 4: Replace y with g^(-1)(x): g^(-1)(x) = (x - 1) / 5 So, the inverse of the function g(x) = 5x + 1 is g^(-1)(x) = (x - 1) / 5.

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