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4 years ago

How do I confirm that f and g are inverses?

Mathematics

1 answer:

Anestetic [448]4 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

To show f and g are inverses we require to show that

f(g(x)) = x and g(f(x)) = x

f(g(x))

= f(6x - 4)

= $\frac{6x-4+4}{6}$ = $\frac{6x}{6}$ = x

-----------------------------------------------------------------------------

g(f(x))

= g( $\frac{x+4}{6}$ )

= ( 6 × $\frac{x+4}{6}$ ) - 4

= x + 4 - 4 = x

-------------------------------------------------

Hence f and g are inverses

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Rewrite the following equation in exponential form.

ira [324]

Answer:

5² = 25

Step-by-step explanation:

log5 25 = 2

log(b) (x) = (y)

make b^(y) = (x)

5² = 25

I hope this helps!

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2 years ago

5. What’s the answer to this question ASAP

tatiyna

Answer:

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3 years ago

The table shows a linear relationship between x and y

irga5000 [103]

We have been given a table that shows a linear relationship between x and y. We are asked to find the rate of change change of y with respect to x.

To solve our given problem, we will find the slope of the line passing through the given points.

$m=\frac{y_2-y_1}{x_2-x_1}$

Let us find slope of line using points $(-20,96)$ and $(-2,15)$ .

$m=\frac{15-96}{-2-(-20)}$

$m=\frac{-81}{-2+20}$

$m=\frac{-81}{18}$

$m=-4.5$

Therefore, the rate of change of y with respect to x is $-4.5$ .

3 0

3 years ago

EFV and EDW are straight lines.<br>Find the value of x and of y.

Makovka662 [10]

Answers:

x = 72

y = 83

============================================================

Explanation:

Angle VFG is 50 degrees. The angle adjacent to this is angle EFG which is 180-50 = 130 degrees.

Angle HDW is 77 degrees. The supplementary angle adjacent to this is 180-77 = 103 degrees which is angle EDH.

Pentagon EFGHD has the following five interior angles

E = x
F = 130
G = 170
H = 65
D = 103

Note that angles F = 130 and D = 103 were angles EFG and EDH we calculated earlier.

For any pentagon, the interior angles always add to 180(n-2) = 180(5-2) = 180*3 = 540 degrees.

This means,

E+F+G+H+D = 540

x+130+170+65+103 = 540

x+468 = 540

x = 72

---------------------------------------

Now focus your attention on triangle THS

We see that the interior angles are

T = y
H = 65
S = 32

The angle H is 65 degrees because it's paired with the other 65 degree angle shown. They are vertical angles.

For any triangle, the angles always add to 180

T+H+S = 180

y+65+32 = 180

y+97 = 180

y = 180-97

y = 83

7 0

3 years ago

Which is the closest to the quotient 4367/0.004

VladimirAG [237]

Answer:

1091750

Step-by-step explanation:

if your dividing

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3 years ago