Represent the interval where both functions are increasing on the number line provided.

Hello, they are both increasing at interval (0, 4). should be open circle on both ends

The interval of increasing for both the given functions f((x) and g(x) is given by : (-∞, 4)

Step-by-step explanation:

The function f(x) = |3x| + 3

Since, The modulus function is always increasing so adding 3 to it also increase over the whole number line.

So, The interval of increasing for the function f(x) : (-∞, +∞)

The function g(x) = -x² + 8x - 5

⇒ g'(x) = -2x + 8

To find critical points : g'(x) = 0

⇒ -2x + 8 = 0

⇒ x = 4

So, Intervals of increasing or decreasing are : (-∞, 4) and (4, +∞)

Now, On checking g(x) is increasing on (-∞, 4) and decreasing on (4, +∞)

Hence, The interval of increasing for both the given functions f((x) and g(x) is given by : (-∞, 4)

the answer is 1030 it's very simple math.

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step-by-step explanation:

the denominator cannot be the same as one of the factors.

8 denominator times 2 denominator = 16

and 7 numerator time 11 = 77

77/16= 77/16 ( they cannot be further simplified)