Answer:
B
Step-by-step explanation:
So we have the function:
[tex]f(x)=\frac{9}{5}x+32[/tex]
To find the inverse, flip f(x) and x, change f(x) to f⁻¹(x), and solve for it. Thus:
[tex]x=\frac{9}{5}f^{-1}(x)+32[/tex]
Subtract 32 from both sides:
[tex]x-32=\frac{9}{5}f^{-1}(x)[/tex]
Multiply both sides by 5/9. The right side will cancel. Thus:
[tex]f^{-1}(x)=\frac{5}{9}(x-32)[/tex]
Our answer is B.
And we're done!
