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tangare [24]
3 years ago
8

Find the inverse of the function f(x) = 2x – 4.

Mathematics
2 answers:
otez555 [7]3 years ago
6 0
<span>f(x) = 2x – 4
</span><span>inverse
x = 2y - 4
2y = x + 4
  y = x/2 + 2

answer
inverse
f-1(x) = </span>x/2 + 2
LuckyWell [14K]3 years ago
6 0
Hey there!

Your question states: <span>Find the inverse of the function f(x) = 2x – 4

</span>→ We need to remember that when finding the inverse of a function, this would mean that we would find the complete opposite of the whole expression listed above.


solve \ 2x-4= y \ for \ x&#10;&#10;
<span>
Substitute </span>y=x

Your correct answer would be \boxed{ \frac{x+2}{2} }   <span>✓</span>
<span>
Hope this helps.
~Jurgen</span>
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I need to show work and Idk how for 2 or 3. The -5,-2 and 8,3 is the answers just need work shown thanks
prisoha [69]
#2
2x - 4y = -2
2x + 3y = -16
------------------subtract
-7y = 14
y = 14/-7
y = -2

2x - 4y = -2
2x - 4(-2) = -2
2x + 8 = -2
2x = -2 -8
2x = -10
x = -10/2
x = -5
answer x = -2 and y = -5

check:

2(-5)- 4(-2) = -2
-10 +8 = -2
-2 = -2.....true

2x + 3y = -16
2(-5)+3(-2) = -16
-10 + (-6) = -16
-16 = -16...true


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2 years ago
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3 0
3 years ago
How do I graph x - 4y &lt; 0
Temka [501]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

x-4y < 0

isolate the variable y

-4y < -x

Divide by -4 both sides

Remember

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so

y > \frac{x}{4}

The solution of the inequality is the shaded area above the dashed line y=\frac{x}{4}

The slope of the dashed line is positive m=1/4

The y-intercept of the dashed line is (0,0)

The x-intercept of the dashed line is (0,0)

using a graphing tool

The graph in the attached figure

3 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
Bad White [126]

Answer:

y = -\frac{2}{5} x-6

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula m =\frac{y_2-y_1}{x_2-x_1}. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):

m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\  

So, the slope of the line is -\frac{2}{5}.

2) Next, use the point-slope formula y-y_1 = m (x-x_1) to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the m, x_1 and y_1 into the formula.

Since m represents the slope, substitute -\frac{2}{5}  in its place. Since x_1 and y_1 represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6

6 0
3 years ago
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