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If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of (F g)(x)

User Hani Gotc
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If f(x) = x2 – 1 and g(x) = 2x – 3, what is the domain of (F g)(x)-example-1
User Wael Assaf
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Answer:

domain will be ( -∞, ∞)

Explanation:

The given functions are f(x) = x² - 1 and g(x) = 2x - 3

We have to find domain of (fog)(x)

We will find the function (fg)(x) first.

(fog)(x) = f[g(x)]

= (2x - 3)²

= 4x² + 9 - 12x - 1

= 4x² - 12x + 8

= 4 (x² - 3x + 2)

The given function is defined for all values of x.

Therefore, domain will be ( -∞, ∞)

User ErickTreetops
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