If f(x) = -x-2, what is f¹(x)?
1 answer:
Answer:
f¯¹(x) =9x+18 , for the pictorial ( image ) question what is the send question is it asking derivative or inverse If it is inverse f ¯ ¹ ( x ) = - x - 2 as it is Or if it is derivative f' ( x ) = - 1 Step-by-step explanation:
<h2>
For the image question f ( x ) = 1 / 9 x - 2 , f ¯ ¹ ( x ) = ? </h2>
f ( x ) = 1 / 9 x - 2 . . . . . . . . . . . . given y = 1 / 9 x - 2 . . . . . . . . . . . . . . . . swapping f ( x ) by y to Easily write x = 1 / 9 y - 2 . . . . . . . . . . . . . . . . interchanging x and y 1 / 9 y - 2 = x . . . . . . . . . . . . . . . . changeling side of equation 9 ( 1 / 9 y - 2 ) = ( x ) 9 . . . . . . . multiplying both sides by 9 to override the fraction on the right side y - 1 8 = 9 x y = 9 x - 1 8 . . . . . . . . . . . . . . . . . Return to where it were <em><u>f ¯ ¹ ( x ) = 9 x + 1 8 </u></em>. . . . . . . . . . swap back f ¯ ¹ ( x ) in the y
<h2>
For the question f ( x ) = - x - 2 , f ¯ ¹ ( x ) = ? </h2>
following the ☝️ arrangement y = - x - 2 x = - y - 2 - y - 2 = x - y = x + 2 y = - x - 2 f ¯ ¹ ( x ) = - x - 2
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