Could you check if there wasn't a typo, namely,
"Let f(x)=(x+3)/(2x-5)... "
If that's the case, it's the second response.
To double check,
Let y = f(x)
y = (x + 3)/ (2x - 5)
Switch x and y.
x = (y + 3)/ (2y - 5)
Multiply both sides by (2y - 5).
2xy - 5x = y + 3
Subtract 3 from both sides.
2xy - 5x - 3 = y
Subtract 2xy from both sides.
-5x - 3 = -2xy + y
Factor the right side.
-5x - 3 = y (-2x + 1)
Divide both sides by (-2x + 1).
(-5x - 3)/ (-2x + 1) = y
(5x - 3)/ (2x + 1) = y
Now we replace y with the inverse function notation: f^ (-1) x.
f^ (-1) x = (5x + 3) / (2x - 1)
This my work to reflect the answer. Is it correct? Thanks!
Yes, the calculation is correct.
Note: You may not have noticed that you omitted the division sign in the initial post.
Thanks for pointing that out!
Answer this Question
Algebra - what is the inverse of the linear parent function? How would you graph...
Algebra II - The inverse of f(x) is h(x). The composition of f and h is written ...
Algebra - How do you find the inverse of functions? for example how would you ...
Math - Find the multiplicative inverse of the number. 1/2 (fraction) The inverse...
algebra - 1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). ...
algebra 2 - Please help! y=2x I need to find the inverse, and I am wonderingif ...
Algebra - Myra uses an inverse variation function to model the data for the ...
Algebra - If f(a)=K, then which of the following must be true? f(K)=a f inverse(...
math - using the inverse property of division how would you isolate -4.2? ...
Algebra II - What would be the inverse of: f(x)= 6/x Is it the same?