SOLUTION: if f=3/g, where g is not equal to 0 and f is not equal to 1, which of the following is equal to g-3/f-1 1)g 2)f 3)g-f 4)-f 5)-g

Question 1201971: if f=3/g, where g is not equal to 0 and f is not equal to 1, which of the following is equal to g-3/f-1
1)g
2)f
3)g-f
4)-f
5)-g
Found 3 solutions by math_tutor2020, greenestamps, josgarithmetic:
Answer by math_tutor2020(3816)   (Show Source): You can put this solution on YOUR website!

Take reciprocal of each side

Subtract 1 from both sides

Rewrite each "1" as a fraction involving the LCD.

Cross multiply

Reverse the cross multiplication process, but in a way so the (1-f) goes to the left side.

That isn't one of the answer choices, but we could do a bit more algebra
Let's go back to

So

This means

turns into

Answer: -g (choice 5)

Answer by greenestamps(13198)   (Show Source): You can put this solution on YOUR website!

You have not shown the expression correctly, so none of the given answer choices is correct.

g-3/f-1 -->

Substitute 3/g for f:

ANSWER: -1

You can get yourself into all kinds of trouble if you are sloppy with your use of parentheses.

From the given answer choices, it is clear that the expression to be simplified is in fact

(g-3)/(f-1) -->

Let's do that....

Substitute 3/g for f and simplify:

ANSWER: -g (answer choice 5)

Answer by josgarithmetic(39616)   (Show Source): You can put this solution on YOUR website!

also, .

(1)

(2)

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