Answered

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f( x) = 3 x + 2 and g( x) = 2 x + 5. Find f ∘ g(5)

Please show your work

Sagot :

Answer:

f ∘ g(5) = 47

Step-by-step explanation:

We are given the following functions:

[tex]f(x) = 3x + 2, g(x) = 2x + 5[/tex]

Composite function:

The problem asks their composite function at x = 5. So

[tex]f \circ g = f(g(x)) = f(2x + 5) = 3(2x + 5) + 2 = 6x + 15 + 2 = 6x + 17[/tex]

[tex]f(g(5)) = 6(5) + 17 = 30 + 17 = 47[/tex]

We have that f ∘ g(5) = 47

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