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inna [77]
3 years ago
6

F(x)3x+5/x what is f(a+2)

Mathematics
2 answers:
wolverine [178]3 years ago
8 0

Answer:

f(a+2) equals:

\dfrac{3a^2+12a+17}{a+2}

Step-by-step explanation:

We are given

f(x)=3x+\dfrac{5}{x}

We have to find the value of f(a+2)

substituting a+2 in place of x in f(x), we get

f(a+2)=3(a+2)+\dfrac{5}{a+2} \\\\f(a+2)=\dfrac{3(a+2)^2+5}{a+2} \\\\f(a+2)=\dfrac{3(a^2+4+4a)+5}{a+2} \\\\f(a+2)=\dfrac{3a^2+12+12a+5}{a+2} \\\\f(a+2)=\dfrac{3a^2+12a+17}{a+2}

Hence, f(a+2) equals:

\dfrac{3a^2+12a+17}{a+2}

Natalija [7]3 years ago
4 0
F(X) = (3x + 5)/X
F(a + 2) = (3(a + 2) + 5)/(a + 2)
F(a + 2) = (3a + 6 + 5)/(a+2)
F(a + 2) = (3a + 11)/(a + 2).

This would be the final solution.
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