for f (x) = 3x+1 and g (x) = x^2-6, find (f o g) (4)

Question

Mathematics

Tanya Barker

14 February, 15:53

for f (x) = 3x+1 and g (x) = x^2-6, find (f o g) (4)

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Rodrigo Taylor · Answer 1

To find (f o g) (4), we must substitute 4 into the equation as shown below. (f o g) (4) = f (g (4)) This means that we must first compute for the value of g (4) where g (x) = x² - 6. So, we have g (4) = 4² - 6 = 16 - 6 = 10. So, we have (f o g) (4) = f (g (4)) = f (10) Using the same steps, we have f (10) = 3 (10) + 1 = 31. Therefore, the value of (f o g) (4) = 31. Answer: 31