For and find °

(f ° g)(4) = 45

Step-by-step explanation:

f(x) = 4x+1 and g(x) = x^{2}  -5 find (f ° g)(4)

"( f o g)(x)" means " f (g(x))"

That is, you plug something in for x, then you plug that value into g, simplify, and then plug the result into  f.

f(g(x)) put x = 4 in g(x) = x² - 5

g(4) = 4² - 5 = 16 - 5 = 11

now put this g(x) = 11 where x = 4 in f(g(x)) = 4x + 1

f(g(4)) = f(11) = 4(11) + 1 = 44+1 = 45

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