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Ksenya-84 [330]
3 years ago
11

Find the inverse of the function f(x) = 2x – 4.

Mathematics
2 answers:
Vsevolod [243]3 years ago
5 0

The correct answer for this is D) g(x) = 1/2x + 2

Because f(x) is one to one,  its inverse is a function.

irga5000 [103]3 years ago
4 0
Replace <span><span>f<span>(x)</span></span><span>fx</span></span> with <span>yy</span>.<span><span>y=<span><span>2x</span><span>−4</span></span></span><span>y=<span><span>2x</span><span>-4</span></span></span></span>Interchange the variables.<span><span>x=<span><span>2y</span><span>−4</span></span></span><span>x=<span><span>2y</span><span>-4</span></span></span></span>Solve for <span>yy</span>.Tap for more steps...<span><span>y=<span>2+<span>x2</span></span></span><span>y=<span>2+<span>x2</span></span></span></span>Solve for <span>yy</span> and replace with <span><span><span>f<span>−1</span></span><span>(x)</span></span><span><span>f<span>-1</span></span>x</span></span>.
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