1 Answer

Kornfridge · Answer 1 · 2021-11-23T20:11:25+0000

Answer:

${g}^( - 1) (x) = - (5)/(2) x - 5$

Explanation:

We want to find the inverse of

g(x) = - (2)/(5)x - 2

Let

y= - (2)/(5)x - 2

We interchange x and y to get:

x= - (2)/(5)y - 2

We now solve for y to obtain:

x + 2=-(2)/(5)y

5x = - 2y - 10

Add 10 to both sides to get:

5x + 10 = - 2y

Divide through by -2

y = - (5)/(2) x - 5

Therefore

${g}^( - 1) (x) = - (5)/(2) x - 5$

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