Let f(x) = −2x 2 − 7 and g(x) = √x + 3. Find (f ∘ g)(25)

(f О g)(25) is -135

Step-by-step explanation:

The composite function (f О g)(x) means substitute x in f by g

∵ f(x) = -2x² - 7

∵ g(x) = √3 + 3

→ To find (f О g)(25), find g(25) first, then substitute x in f by the value of g(25)

∵ x = 25

∴ g(25) = √25 + 3

∵ √25 = 5

∴ g(25) = 5 + 3

∴ g(25) = 8

→ Now substitute x in f by 8

∵ x = 8

∴ f(8) = -2(8)² - 7

∴ f(8) = -2(64) - 7

∴ f(8) = -128 - 7

∴ f(8) = -135

∴ (f О g)(25) = -135

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