The value of the x in g(h(x)) = 4 is 4 if the g⁻¹(4) = 2 and at x = 4 h(x) = 2 option (C) is correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have functions g(x) and h(x) shown in the figure.
g(h(x)) = 4
Taking the inverse of a function:
h(x) = g⁻¹(4)
From the set of functions g(x)
(2, 4) belongs to g(x)
(4, 2) belongs to g⁻¹(x)
g⁻¹(4) = 2
h(x) = 2
x = 4 (from the function h(x) data set)
Thus, the value of the x in g(h(x)) = 4 is 4 if the g⁻¹(4) = 2 and at x = 4 h(x) = 2 option (C) is correct.
Learn more about the function here:
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