The value of the function g⁻¹(x) and f(x) will be equal. Then the value of x will be 3.3.
What is a function?
A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The functions are given below.
f(x) = 3x - 7 and g(x) = x + 2/5
Then the inverse function of g(x) will be
x = g⁻¹(x) + 2/5
g⁻¹(x) = x - 2/5
Then we have
g⁻¹(x) = f(x)
Then the value of x will be
x - 2/5 = 3x - 7
3x - x = 7 - 2/5
2x = 33 / 5
x = 33/10
x = 3.3
More about the function link is given below.
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