Problem 1: For the function defined by f(x)=5x-4, find a formula for f^-1(x). & Problem 2: Solve the equation 4^2x+1=2^3x+6.
2006-11-14 11:30:35 · 3 answers · asked by lizanbrian h 1 in Science & Mathematics ➔ Mathematics
1. f^1=5
2. impossible, 4^2x=2^4x, but 2^4x+1doesn't equal to 2^3x+6 for any natural numbers.
2006-11-14 11:41:19 · answer #1 · answered by John P 1 · 0⤊ 0⤋
1) to find the inverse of 5x-4 switch x and y to make it x=5y-4. so the inverse would be f(x) ^ -1 = (x-4)/5.
2) yeah i'm sorry i'm too lazy to solve for that, but you should be happy to get the first part
2006-11-14 11:37:22 · answer #2 · answered by lilstefon 2 · 0⤊ 0⤋
f^-1(x) means switch the x's and y's and solve for x (where f(x)=y
So
y=5x - 4 switch x and y:
x=5y - 4 solve for y
y=(x + 4)/5
y= f^-1(x) = (x + 4)/5
Can't help on #2 I'm bad with logs
2006-11-14 11:35:18 · answer #3 · answered by darcy_t2e 3 · 0⤊ 0⤋