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Math  /  Algebra

Question4. f(x)=xx+2f(30)=\begin{array}{l} f(x)=\frac{x}{x+2} \\ f(30)= \end{array}

Studdy Solution

STEP 1

1. We are given the function f(x)=xx+2 f(x) = \frac{x}{x+2} .
2. We need to find the value of f(30) f(30) .

STEP 2

1. Substitute x=30 x = 30 into the function.
2. Simplify the expression to find f(30) f(30) .

STEP 3

Substitute x=30 x = 30 into f(x) f(x) :
f(30)=3030+2 f(30) = \frac{30}{30 + 2}

STEP 4

Simplify the expression:
f(30)=3032 f(30) = \frac{30}{32}

STEP 5

Simplify the fraction:
f(30)=1516 f(30) = \frac{15}{16}
The value of f(30) f(30) is:
1516 \boxed{\frac{15}{16}}

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