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SVEN [57.7K]
3 years ago
5

For the function f(x)=8(x+10), find f^-1(x)

Mathematics
1 answer:
NeTakaya3 years ago
6 0
In other words, find the inverse of the given function f(x).

1.  Replace f(x) with "y."     y = 8(x+10)
2.  Interchange x and y:      x = 8(y+10)
3.  Solve this for y:             y+10 = x/8, or y = x/8 - 10

                                   -1
4.  Replace "y" with "f     (x) "       

          -1           x-80
         f   (x) = ----------     (Answer)
                            8 
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49x^2=-21x-2 quadratic functions
lara [203]

Answer: 49x^2=-21x-2 quadratic functions -1/7and -2/7    



Step-by-step explanation:

Quadratic function:

In elementary algebra, the quadratic formula is a formula that provides the solution to a quadratic equation. There are other ways of solving a quadratic equation instead of using the quadratic formula, such as factoring, completing the square, graphing and others.

Move terms to the left side

49x^{2}  =-21x-2

49x^{2}  -(-21x-2) =0

 Distribute

49x^{2}  -(-21x-2) =0

49x^{2}+21x+2=0

Use the quadratic formula



 x=(-b±√b^{2}  -4ac  ) / 2a

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

 49x^{2}+21x+2=0

let, a=49

b=21

c=2

 Replace with values in this equation

X=(-b±√b^{2}  -4ac  ) / 2a

Simplify

Evaluate the exponent

Multiply the numbers

Subtract the numbers

Evaluate the square root

Multiply the numbers

x=(-21±7) /98

Separate the equations

To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.Separate

x=(-21+7) /98

x=(-21-7) /98

Solve

Rearrange and isolate the variable to find each solution

x=-1/7

x=-2/7



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3 0
2 years ago
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Nostrana [21]
The answer is D. In the function y=4/(x-5), A value of 5 would make the denominator 0. This is undefined, so 5 is excluded.
4 0
3 years ago
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lozanna [386]

Answer:

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Step-by-step explanation:

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