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# inverse functions

+1
128
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+500

What is the inverse of $f(x)=4-5x$?

May 6, 2021

#1
+964
+1

$$f(x) = y = -5x + 4$$

$$y - 4 = -5x$$

$$\frac{4 - y}{5} = x$$

---> $$\boxed{f^{-1}(x) = \frac{4 - x}{5}}$$

May 6, 2021
#3
+2209
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Hello, I haven't seen you on in a long time. :))

=^._.^=

catmg  May 6, 2021
#2
+2209
+1

replace f(x) with x

x = 4 - 5f(x)

4-x = 5f(x)

f(x) = (4-x)/5

=^._.^=

May 6, 2021