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1 year ago

F(x){3/4x+2 If x≠2 {-4. If x=2 Whats f(-5), f(2),f(4)

Mathematics

1 answer:

satela [25.4K]1 year ago

7 0

The values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.

<h3>What is a function?</h3>

A function is a rule or expression showing the relationship between a dependent and independent variable.

We have the function to be;

f(x) = 3/ 4(x + 2)

Let's find f(-5), substitute the value of x as -5

f(-5) = 3/ 4 ( -5 + 2)

f(-5) = 3/ 4 × -3

f(-5) = -1/ 4

f(2), substitute the value of x as 2

f(2) = 3/ 4(2 + 2)

f(2) = 3/ 4 (4)

f(2) = 3/ 16

f(4) = 3/ 4 ( 4 + 2)

f(4) = 3/ 4(6)

f(4) = 3/ 8

Thus, the values of the functions are -1/ 4, 3/ 16 and 3/ 8 respectively.

Learn more about functions here:

brainly.com/question/4025726

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this is the Pythagorean theorem, this equation holds true to all right angle triangles.

for the "a" and "b" terms must be the two shortest lengths and "c" must be the longest length.
why? because "c" represents the hypotenuse in this theorem and the hypotenuse is by definition the longest side of a right triangle.

(side note: always draw a picture, it helps a lot if you doodle a bit to get an idea of what you are working with)

we are given three lengths : 3 , 4, and 5 (im ignoring the measurements for now)

we can look at it two ways with a picture and through algebra

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(but "a" and "b" can swap lengths)

now with the Pythagorean theorem we can see how this plays out
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and heres with "a" and "b" lengths swapped
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now here's a case when we let 5 , our longest length , become a leg and let one our shorter lengths take the place of "c"

$a = 5 \\ b = 3 \\ c = 4 \\ {5}^{2} + {3}^{2} = {4}^{2} \\ 25 + 9 = 16 \\ 34 = 16 \:$
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