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jeka57 [31]
3 years ago
6

Pls help; use inverse operations to write the inverse of F(x)= x/4 - 5

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
5 0

Answer:

f^{-1}(x)=4(x+5)

Step-by-step explanation:

So we have the function:

f(x)=\frac{x}{4}-5

To find the inverse of a function, switch f(x) and x, change f(x) to f⁻¹(x), and solve for it. Thus:

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

Add 5 to both sides:

x+5=\frac{f^{-1}(x)}{4}

Multiply both sides by 4:

f^{-1}(x)=4(x+5)

And we're done!

Hope this helps!

Levart [38]3 years ago
4 0

Answer:

\huge \boxed{F^{-1}(x)=4(x+5)}

\rule[225]{225}{2}

Step-by-step explanation:

\displaystyle F(x)= \frac{x}{4} - 5

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

Switching variables,

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

Solving for y,

\displaystyle x+5= \frac{y}{4}

4(x+5)=y

\rule[225]{225}{2}

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