Answer:
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle BDC
Find the value of j
Applying the Pythagorean Theorem
step 2
In the right triangle ABD
Applying the Pythagorean Theorem
----> equation A
step 3
In the right triangle ABC
Applying the Pythagorean Theorem
----> equation B
step 4
Substitute equation A in equation B
solve for g
There are two ways to do this
Method 1:
Find (f-g)(x) first
(f-g)(x) = f(x) - g(x)
(f-g)(x) = (5x^2+3) - (-2x+4)
(f-g)(x) = 5x^2+3+2x-4
(f-g)(x) = 5x^2+2x-1
Then plug in x = -3
(f-g)(-3) = 5(-3)^2+2(-3)-1
(f-g)(-3) = 5(9)+2(-3)-1
(f-g)(-3) = 45-6-1
(f-g)(-3) = 39-1
(f-g)(-3) = 38
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Method 2:
Find f(-3)
f(x) = 5x^2+3
f(-3) = 5(-3)^2+3
f(-3) = 5(9)+3
f(-3) = 45+3
f(-3) = 48
Find g(-3)
g(x) = -2x+4
g(-3) = -2(-3)+4
g(-3) = 6+4
g(-3) = 10
Subtract the two results
(f-g)(-3) = f(-3) - g(-3)
(f-g)(-3) = 48 - 10
(f-g)(-3) = 38
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Whichever method you pick, the answer is: 38
WHAT IS THIS LANGUAGE ? PLEASE TRY TO USE ENGLISH !
