The range of f(x) = |x| is y > 0. If a < 0 for g(x) = a|x|, what is the range of the function of g?

A. Y < a
B. Y < 0
C. Y > 0

Step-by-step explanation:

first of all I have to say the range should be " y >= 0" and not just "y > 0", because x can be 0, and then y is 0 too.

but under the the same assumption of the definition above, the correct answer is B, y < 0.

because a×|x| means we multiply a negative value with a positive value. and that result is always a negative value.

so, it cannot be C.

and it cannot be A, because

if |x| < 1 (e.g. 0.5), then a×|x| > a, as e.g. -1 > -2

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

17.08

correct me if i am wrong.