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notsponge [240]
3 years ago
11

I need help with this question plzzz

Mathematics
1 answer:
VikaD [51]3 years ago
6 0

Step-by-step explanation:

a refuse regular function tries to calculate a y value for a given x (input) value.

the inverse function turns this around and tries to calculate the x (input) value for a given y functional value.

e.g. when we know f(x) = 8, then what was the x value leading to this 8 fungible value ?

in order to turn this around, we solve the same functional equation for x instead of for y.

in our example here

f(x) = y = 3x -6

y + 6 = 3x

x = y/3 + 2

and now, to write the inverse function as normal function, we simply exchange the x and y names :

y = x/3 + 2

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Solving equations 15(x)=4(2x+3)
8_murik_8 [283]
The answer is x = 12/7

because you multiply 15 by x to get 15x
15x = 4(2x+3)
next you simplify the right side by using the distributive property by doing 15x = 4(2x) + 4(3)
Then you multiply 2 by 4 to get 8
15x = 8x + 4(3)
and multiply 4 by 3 to get 12
15x = 8x + 12
Now you move terms containing (x) to the left side of the equation.
Since 8x contains the variable to solve for, move it to the left side of the equation by subtracting 8x from both sides.
15x - 8x = 12
subtract 8x from 15x to get 7x
7x = 12
Also , divide each term by 7 and simplify
Divide each term in 7x = 12 by 7
7x/7 = 12/7
Lastly ,  reduce the expression by cancelling  the common factors by
crossing out  all 7s 7x/7 and leave 12/7 as it is, and divide x by 1 to get x by
x = 12/7
So the answer is  x = 12/7 





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\qquad\qquad\huge\underline{{\sf Answer}}♨

The required equation is :

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