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For F(x)=8x-5 determine f^-1(1)?
This is my answer, please tell me if I'm right or not.
f(x)=8x-5
y=8x-5
x=8y-5
(x+5)/8=(8y)/y
(x+5)/8=y
1+5/8=y
6/8=y
3/4=y
Therefore y=3/4.
3 Answers
- ?Lv 78 months ago
YES, YOU'RE CORRECT!
f(x) = 8x -5
// Find inverse f⁻¹(x)
y = 8x-5
x = 8y-5
8y = x+5
y = ¹⁄₈ (x+5)
f⁻¹(x) = ¹⁄₈ (x+5)
f⁻¹(1) = ¹⁄₈ (1+5) = ¾ ..................ANS
- billrussell42Lv 78 months ago
right answer, but your steps are incorrect.
f(x)=8x-5
y=8x-5
x=8y-5
8y = x+5
y = (x+5)/8
y(1) = 6/8 = 3/4
