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shutvik [7]
3 years ago
15

Select the correct answer.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
3 0
E. 9:12...............
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2 years ago
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Find the inverse of f(x)=−3/2x+7/2.
timama [110]

Answer: f^{-1}(x)=-\frac{2}{3}x+\frac{7}{3}

Step-by-step explanation:

To find the inverse of a function, you want to replace x with y and y with x. Then, you solve for y.

y=-\frac{3}{2}x+\frac{7}{2}                       [replace y with x and x with y]

x=-\frac{3}{2}y+\frac{7}{2}                       [subtract both sides by 7/2]

x-\frac{7}{2} =-\frac{3}{2}y                       [multiply both sides by -2/3]

-\frac{2}{3} (x-\frac{7}{2} )=y                     [distribute]

y=-\frac{2}{3}x+\frac{7}{3}

Now, we have our inverse function.

f^-^1(x)=-\frac{2}{3}x+\frac{7}{3}

7 0
3 years ago
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