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A day full of math games & activities. Find one near you.
If c(x) = 4x - 2 and d(x) = x2 + 5x, what is c(d(x))?
Solution:
A function that depends on any other function is called a composite function.
A composite function is created by composing one function within another function.
Given,
c(x) = 4x - 2
d(x) = x2 + 5x
We have to find c(d(x))
We know that
c(d(x)) = c(x2 + 5x)
Substituting the values
= 4(x2 + 5x) - 2
So we get
= 4x2 + 20x - 2
Therefore, c(d(x)) = 4x2 + 20x - 2.
If c(x) = 4x - 2 and d(x) = x2 + 5x, what is c(d(x))?
Summary:
If c(x) = 4x - 2 and d(x) = x2 + 5x, then c(d(x)) 4x2 + 20x - 2.
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