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3 years ago

TRUE OR FALSE: FOR ANY FUNCTION, X=F^-1(Y), THEN Y=F(X). PLEASE EXPLAIN

Mathematics

1 answer:

Vesnalui [34]3 years ago

7 0

Answer:

True.

Step-by-step explanation:

For example let f(x) = 3x + 1 then f-1(x) is found as follows

Let f(x) = y = 3x + 1 then

3x = y - 1

x = (y-1) / 3

x = f-1(x) = (x - 1)/3.

So:

Replacing the x in y by (x - 1)/3 :-

x = f(-1)(y) = ( (3x + 1) - 1) / 3

= 3x / 3

= x.

So y = f(x).

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Five more than three times a number is six less than twice the number. find the number

evablogger [386]

Answer:

Step-by-step explanation:

6x-3=5+2x

-2x on both sides

4x-3=5

+3 on both sides

4x=8

divide 4 on both sides

x=2

8 0

3 years ago

Solve by completing the square<br><br>x squared +14x - 51=0

Nesterboy [21]

$x^2 +14x - 51=0\\ \\\Delta = b^{2}-4ac =14^{2}-4*1*(-51)=196+204=400 \\ \\x_{1}=\frac{-b-\sqrt{\Delta }}{2a} =\frac{-14- \sqrt{400}}{2}=\frac{-14-20}{2}= \frac{-34}{2}=-17\\ \\x_{2}=\frac{-b+\sqrt{\Delta }}{2a} =\frac{-14+ \sqrt{400}}{2}=\frac{-14+20}{2}= \frac{6}{2}=3$

3 0

4 years ago

What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 2x + y - 1 = 0?

DiKsa [7]

Hello :
an equation is :
y - 2 = -2(x-1).....(<span>a line parallel to the line y = -2x + 1 ' same slope : -2)
y = -2x+4</span>

3 0

3 years ago

A dolphin was swimming 4 feet below sea level. The number line shows the

Airida [17]

Answer:

-4+(-3)= -7. The dolphin is -7 feet below sea level

Step-by-step explanation:

Start at -4 on the number line. When you add a negative number to a negative number, you move left on the number line. Move 3 units to the left to land at -7. The dolphin is 7 feet below sea level.

8 0

3 years ago

If the quadratic formula is used to solve 2x2-3x - 1 = 0, what are the solutions?

Alecsey [184]

Answer:

x = (3 +/- sqrt(17) / 4.

Step-by-step explanation:

x = [-(-3) +/- sqrt((-3)^2 - 4*2*-1)] / 4

x = (3 +/- sqrt(17) / 4.

6 0

3 years ago