Given f(x) = x2 + 5 and g(x) = x^2 , and h(x) = -2x what is h(g(f(x)))=
Mathematics · High School · Mon Jan 18 2021
Answered on
Given:
f(x) = x^2 + 5
g(x) = x^2
h(x) = -2x
Determine h(g(f(x)))
Solution:
The given condition is a composition function, whereas we need to substitute f(x) to g(x), then substitute the value again to h(x). In order to easily understand this we start first with g(f(x)).
g(f(x)) = (x^2 + 5)^2
We substituted the value of f(x) to g(x), now we're gonna do the same to h(x).
h(g(f(x)))= -2(x^2 + 5)^2
h(g(f(x)))= -2(x^4 + 10x^2 + 25)
h(g(f(x)))= -2x^4 - 20x^2 -50
Final answer:
h(g(f(x)))= -2x^4 - 20x^2 -50