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muminat
3 years ago
8

Given f (x) = -12x + 72, find x when f(x) = 24.

Mathematics
1 answer:
Neko [114]3 years ago
4 0

Answer:

x = 4

Given:

f(x) = -12x + 72

f(x) = 24

Step-by-step explanation:

=  >  - 12x + 72 = 24 \\  \\  =  >  - 12x = 24 - 72 \\  \\  =  >   \cancel{- }12x =   \cancel{-} 48 \\  \\  =  > 12x = 48 \\  \\  =  > x =  \frac{48}{12}  \\  \\  =  > x = 4

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Using limits, it is found that the end behavior of the function is given as follows:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

<h3>How to find the end behavior of a function f(x)?</h3>

The end behavior of a function f(x) is given by the limit of f(x) as x goes to infinity.

In this problem, the function is:

f(x) = \frac{8x - 1}{2x - 9}

Considering that x goes to infinity, for the limits, we consider only the terms with the highest exponents in the numerator and denominator, hence:

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Hence the correct statement is:

As x → -∞, f(x) → 4; as x → ∞, f(x) → 4.

More can be learned about limits and end behavior at brainly.com/question/27950332

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2 years ago
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