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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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