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Maurinko [17]
3 years ago
7

H(x)=2x-6 find the value. -2[h(3)]

Mathematics
1 answer:
defon3 years ago
3 0

Answer:

-2[h(3)] = 0

Step-by-step explanation:

Step 1: Define

h(x) = 2x - 6

Step 2: Find h(3)

h(3) = 2(3) - 6

h(3) = 6 - 6

h(3) = 0

Step 3: Find -2[h(3)]

-2(0)

0

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3 years ago
Hurry!
NARA [144]

Ans(a):

Given function is f(x)=\frac{3x-1}{x+4}

we know that any rational function is not defined when denominator is 0 so that means denominator x+4 can't be 0

so let's solve

x+4≠0 for x

x≠0-4

x≠-4

Hence at x=4, function can't have solution.


Ans(b):

We know that vertical shift occurs when we add something on the right side of function so vertical shift by 4 units means add 4 to f(x)

so we get:

g(x)=f(x)+4

g(x)=\frac{3x-1}{x+4}+4

We may simplify this equation but that is not compulsory.

Comparision:  

Graph of g(x) will be just 4 unit upward than graph of f(x).


Ans(c):

To find value of x when g(x)=8, just plug g(x)=8 in previous equation

8=\frac{3x-1}{x+4}+4


8-4=\frac{3x-1}{x+4}


4=\frac{3x-1}{x+4}


4(x+4)=(3x-1)


4x+16=3x-1


4x-3x=-1-16

x=-17

Hence final answer is x=-17

8 0
3 years ago
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