subject
Mathematics, 04.02.2021 02:30 gegrgrkj

Someone check my work, please :) Find the inverse:

My work:

However, the answer sheet says the answer is f^{-1}(x)=\sqrt{\frac{2x+8}{3} }. I did notice that if you multiply each number by 2 you get the numbers given in the answers:

Thanks :)


f(x)=1.5x^2-4
y=1.5x^2-4\\\\x=1.5y^2-4\\\\x+4=1.5y^2\\\\\frac{x+4}{1.5} =y^2\\\\y=\sqrt{\frac{x+4}{1.5} } \\\\f^{-1}(x)=y=\sqrt{\frac{x+4}{1.5} }
1*2=2\\\\4*2=8\\\\1.5*2=3

ansver
Answers: 1

Another question on Mathematics

question
Mathematics, 21.06.2019 20:00
Beth divided 9 ounces of her granola recipe into 4 equal-sized amounts. she placed the amounts into individual bowls. the fraction 9/4 represents the number of ounces of granola in each bowl. which other number represents the amount of granola beth has in each bowl? (a) 1 1/4 (b) 2 1/4 (c) 1 3/4 (d) 3 3/4 i need !
Answers: 2
question
Mathematics, 21.06.2019 20:30
Venita is sewing new curtains. the table below shows the relationship between the number of stitches in a row and the length ofthe row.sewingnumber of stitches length (cm)51 131532024306what is the relationship between the number of stitches and the length? othe number of stitches istimes the length.o. the number of stitches is 3 times the length.
Answers: 2
question
Mathematics, 21.06.2019 21:30
If t17 = 3 (t5) in an arithmetic progression, find t1 in terms of d.
Answers: 1
question
Mathematics, 21.06.2019 21:30
Extra points! find the missing dimension! need asap
Answers: 2
You know the right answer?
Someone check my work, please :) Find the inverse:


My work:


H...
Questions
question
Engineering, 14.09.2019 04:30