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Find two functions f and g such that (f O g) (x) =h(x)
h(x) = (9x + 7)^(2)

Find two functions f and g such that (f O g) (x) =h(x) h(x) = (9x + 7)^(2)-example-1
User Highjump
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1 Answer

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f(x) = x² and g(x) = 9x + 7

Step-by-step 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

User Ginger
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