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mr Goodwill [35]
3 years ago
6

Which equation is the inverse of y = 16x^2 + 1?

Mathematics
2 answers:
timama [110]3 years ago
6 0
Switch y and x: x =16y^2 + 1
Solve for y: x-1=16y^2
16y =+-√(x-1)
y =+-√(x-1)/16
nordsb [41]3 years ago
4 0

Answer:

The inverse of the equation is f^{-1}(x)=\pm\sqrt{\frac{x-1}{16}}                

Step-by-step explanation:

Given : Equation y=16x^2+1

To find : The inverse of the equation ?

Solution :

Equation y=16x^2+1

To find the inverse we interchange the value of x and y,

x=16y^2+1

Now, solve for y

16y^2=x-1

Divide by 16 both side,

y^2=\frac{x-1}{16}

Taking root both side,

y=\pm\sqrt{\frac{x-1}{16}}

f^{-1}(x)=\pm\sqrt{\frac{x-1}{16}}

Therefore, The inverse of the equation is f^{-1}(x)=\pm\sqrt{\frac{x-1}{16}}

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8 0
3 years ago
Find the student’s error in solving the following inequality.
Mars2501 [29]

Answer:

The correct option is:

The student should have switched the direction of the inequality sign to get –5> x for a final answer

Step-by-step explanation:

The students has made a mistake in the 3rd step.

We know that when we multiply or divide any negative number on both sides of the inequality, the sign of inequality  reverse its direction.

In step 3 the student divided 25 by -5 but did not  switch direction of the inequality sign.

Therefore the correct option is: The student should have switched the direction of the inequality sign to get –5> x for a final answer

5 0
3 years ago
Which represents the reflection of f(x) = StartRoot x EndRoot over the x-axis?
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X equals 4 and the x axis

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4 years ago
Carolyn paid a mechanic x dollars per hour for a 5-hour job plus $70 for parts. The total charge was less than $320. Which equat
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Answer: should be 70+50x is less than 320

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