What is the inverse of the function f(x) = 2x – 10?
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Answer:
Step-by-step explanation:
f(x) = 2x – 10 let : f(x) = y you have : y = 2x-10
calculate x : 2x = y+10
x = (1/2)y+10/2
x = (1/2)y+ 5....(*)
by (*) the inverse is g(x) = (1/2)x+5
The answer is (x+10)/2
A function that reverses the outcome of another function is known as a "inverse function" or more commonly as a "anti function." For instance, if f(x) = 21, f-1(x) = -21 will be its inverse function.
We have to find the inverse of the function f(x) = 2x-10.
f(x) = 2x - 10, we have to find the inverse of the function which means if we put a value t we would get the output as x, f(t) = x = 2t-10, hence solving the equation 2t-10 = x,
2t = x+10
dividing the equation by 2
t = (x+10)/2.
Hence the inverse of the function f(x) = 2x -10 is (x+10)/2.
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