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Sagot :
HEYA! <3
Explanation :
GIVEN :
- f(x) = 2x - 6
TO FIND :
- Inverse of f(x) i.e [tex]f ^{ - 1} (x)[/tex]
SOLUTION :
FOLLOW THESE THREE STEPS :
- LET Y = f(x)
[tex] \longrightarrow \tt{y = 2x - 6}[/tex]
[tex] \longrightarrow{ \tt{ \: 2x - 6 = y}}[/tex]
- MAKE X A SINGLE TERM IN LHS SIDE
[tex] \longrightarrow{ \tt{2x = y + 6}}[/tex]
[tex] \longrightarrow{ \tt{x = \frac{y + 6}{2} }}[/tex]
- INTERCHANGE THE VALUE OF X AND Y
[tex] \longrightarrow{ \tt{y = \frac{x + 6}{2} }}[/tex]
Hence ,
[tex] \boxed{ \boxed{ {f}^{ - 1} (x) = \sf{ \bold{ \frac{x + 6}{2} }}}}[/tex]
Hope I helped!
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