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Mathematics
Ivy Mcbride
5 February, 03:33
Find the inverse of h (x) = (2x + 6) / 5
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Bullwinkle
5 February, 04:36
0
(5x-6) / 2
Step-by-step explanation:
h (x) = (2x + 6) / 5
y = (2x + 6) / 5
To find the inverse, exchange x and y
x = (2y+6) / 5
Then solve for y
Multiply each side by 5
5x = (2y+6) / 5*5
5x = 2y+6
Subtract 6 from each side
5x-6 = 2y+6-6
5x-6 = 2y
Divide by 2
(5x-6) / 2 = 2y/2
The inverse is
(5x-6) / 2
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Braelyn Crosby
5 February, 07:19
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h^-1 (x) = (5x - 6) / 2
Step-by-step explanation:
To find the inverse of h (x) = (2x + 6) / 5, we need to solve for 'x':
y = (2x + 6) / 5 ⇒ 5y = 2x + 6 ⇒ 5y - 6 = 2x ⇒ x = (5y - 6) / 2
Therefore, h^-1 (x) = (5x - 6) / 2
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