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Given the function f(x) = -3/4x, find the value of f(-4) in simplest form. f(-4) = ___________ in simplest form.

User Nard
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2 Answers

5 votes

Answer:

f(-4) = 3 in simplest form.

f(x) = -3x/4

f(-4) = (-3*-4)/4 =12/4 = 3

Step-by-step explanation:

User Khinsu
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4 votes

Final answer:

To find f(-4) for the function f(x) = -3/4x, substitute -4 into the function, which gives f(-4) = (-3/4) × (-4/1) = 12/4, and simplifying that yields f(-4) = 3.

Step-by-step explanation:

To find the value of f(-4) for the function f(x) = -3/4x, we simply substitute x with -4:

f(-4) = -3/4(-4) = (-3/4) × (-4/1)

Multiply the numerators and the denominators:

f(-4) = (-3 × -4) / (4 × 1)

The multiplication of -3 and -4 gives 12, and the multiplication of 4 and 1 gives 4:

f(-4) = 12/4

Now, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4:

f(-4) = 3

Therefore, f(-4) equals 3 in simplest form.

User Thkru
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