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Math  /  Algebra

QuestionItemi Daca F(x)=2x+1.(6)5−xF(x)=\frac{2 x+1 .(6)}{5-x}, atunci F(0)=F(0)= Rezolvare:

Studdy Solution

STEP 1

1. We are given the function F(x)=2x+1⋅(6)5−x F(x) = \frac{2x + 1 \cdot (6)}{5 - x} .
2. We need to find the value of F(0) F(0) .

STEP 2

1. Simplify the expression for F(x) F(x) .
2. Substitute x=0 x = 0 into the simplified expression.
3. Calculate the value of F(0) F(0) .

STEP 3

Simplify the expression for F(x) F(x) :
The expression 2x+1⋅(6) 2x + 1 \cdot (6) simplifies to:
2x+6 2x + 6
So the function becomes:
F(x)=2x+65−x F(x) = \frac{2x + 6}{5 - x}

STEP 4

Substitute x=0 x = 0 into the simplified expression:
F(0)=2(0)+65−0 F(0) = \frac{2(0) + 6}{5 - 0}

STEP 5

Simplify the expression:
F(0)=0+65 F(0) = \frac{0 + 6}{5} F(0)=65 F(0) = \frac{6}{5}
The value of F(0) F(0) is:
65 \boxed{\frac{6}{5}}

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