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Salsk061 [2.6K]
3 years ago
12

What is the inverse of the function f(x) = 4x + 8?

Mathematics
2 answers:
Viktor [21]3 years ago
8 0

Answer: FIRST OPTION.

Step-by-step explanation:

Given the following function:

f(x)= 4x + 8

Follow this steps in order to find its inverse:

1. Rewrite the function with y=f(x):

y= 4x + 8

2. Solve for "x":

y-8= 4x\\\\x=\frac{y-8}{4}\\\\x=\frac{y}{4}-2

3. Now you must exchange the variables:

y=\frac{x}{4}-2

4. And finally, rewrite the function with h(x)=y:

h(x)=\frac{x}{4}-2

Therefore, the inverse function is h(x)=\frac{x}{4}-2

mrs_skeptik [129]3 years ago
5 0

Answer:

h(x) = one-quarterx – 2 A

Step-by-step explanation:

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The solution is B = 43

Step-by-step explanation:

Simplify and solve for the unknown for 5(B + 3) = 4(B - 7) + 2B

  • Simplify each side
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  • Separate the unknown in one side and the numerical term in the other side to find the value of the unknown

∵ 5(B + 3) = 4(B - 7) + 2B

- Multiply the bracket (B + 3) by 5 in the left hand side and multiply

  the bracket (B - 7) by 4 in the right hand side

∵ 5(B + 3 ) = 5(B) + 5(3) = 5B + 15

∵ 4(B - 7) = 4(B) - 4(7) = 4B - 28

∴ 5B + 15 = 4B - 28 + 2B

- Add the like terms in the right hand side

∵ 4B + 2B = 6B

∴ 5B + 15 = 6B - 28

- Add 28 to both sides

∴ 5B + 43 = 6B

- Subtract 5B from both sides

∴ 43 = B

- Switch the two sides

∴ B = 43

To check the answer substitute the value of B in each side if the two sides are equal then the solution is right

The left hand side

∵ 5(43 + 3) = 5(46) = 230

The right hand side

∵ 4(43 - 7) + 2(43) = 4(36) + 86 = 144 + 86 = 230

∴ L.H.S = R.H.S

∴ The solution B = 43 is right

The solution is B = 43

Learn more:

You can learn more about the solution of an equation in brainly.com/question/11229113

#LearnwithBrainly

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