The composite function g(f(x)) is equivalent to 10x^2 - 1
Composite functions
This are also referred to as function of a function. Given the following functions;
f(x) = 2x^2 - 5
g(x) = 5x + 7
In order to determine the composite function g(f(x))
g(f(x)) = g(2x^2 - 5)
Replace x with 2x^2 - 5 in g(x) to have;
g(f(x)) = 5(2x^2 - 5) + 7
g(f(x)) = 10x^2 - 18
Hence the composite function g(f(x)) is equivalent to 10x^2 - 1
Learn more on composite function here: https://brainly.com/question/10687170
#SPJ1
