# f(x)=frac{5}{9}(x-32) find the inverse function

$f\left(x\right)=\frac{5}{9}\left(x-32\right)$ find the inverse function
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

grbavit
Inverse : $f\left(x\right)=\frac{9x}{5}+3$
To calculate the inverse you can switch the dependent variable and the independent variable, in this case f(x) and x respectively. After switching you get $x=\frac{5}{9}\left(f\left(x\right)-32\right)$. Now we have to solve for f(x). To do this we first divide by $\frac{5}{9}$ to get $\frac{9x}{5}=f\left(x\right)-32$ now we can add 32 to both sides to get the final answer:
inverse $f\left(x\right)=\frac{9x}{5}+3$