Question

Find f(g(x)) for the functions f(x)=5sqrt(x+1)-2 and g(x)=x^2-1

Answer 1

The value of the composite function f(g(x)) is 5x + 2

Composite functions

Composite functions are functions inside another function. Given the following functions:

f(x) = 5√x+1 - 2

g(x) = x² - 1

Determine the composite function f(g(x))

f(g(x)) = f(x² - 1)

f(x² - 1) = 5√x² - 1+1 - 2

f(x² - 1) = 5√x² + 2

f(x² - 1) = 5x + 2

Hence the value of the composite function f(g(x)) is 5x + 2

Learn more on composite function here: brainly.com/question/13502804

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