ObieQ590372 ObieQ590372
  • 25-10-2022
  • Mathematics
contestada

Find two functions f and g such that (f O g) (x) =h(x) [tex]h(x) = (9x + 7)^{2} [/tex]

Find two functions f and g such that f O g x hx texhx 9x 72 tex class=

Respuesta :

MickaelE544106 MickaelE544106
  • 25-10-2022

f(x) = x² and g(x) = 9x + 7

Explanation:

(fog) (x) = h(x)

h(x) = (9x + 7)²

To get the two functions, we need to understand that the function g(x) will be inserted in function f(x) to get (fog)(x)

g(x) = 9x + 7

This is the function that will be inserted into f(x)

Since we have a square, the function of f(x) will have a square

f(x) = x²

Putting both together, replace x with (9x + 7) in f(x)

(fog)(x) = (9x + 7)²

Hence, f(x) = x² and g(x) = 9x + 7

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