The Inverse of the given function is y = 4x+5.
What is Inverse Function?
If the composition of two functions results in an identity function (f(x) = x), then the two functions are said to be inverses of each other. The inverse of a function f is denoted by f⁻¹ and it exists only when f is both one-one and onto function.
Here, for finding inverse; x and y with each other, so we get
x = 4y+5
Now, find the value of y in terms of x,
4y + 5 = x
On subtracting 5 from both side, we get
4y + 5 - 5 = x - 5
4y = x-5
On dividing by 4 both side, we get
4y/4= x/4 - 5/4
y = x-5/4
Thus, the Inverse of the given function is y = 4x+5.
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