Ask your own question, for FREE!
Mathematics 32 Online
eviant:

If https://dlap.gradpoint.com/Resz/~0.H5Nd26u4FRMyUA6.1KhFdZPyJ_eB50_PyWuvUEA46ue4_B2wc9knAegCDUw/7234256,D47/Assets/questions/test/algebra_2/alg2inve/mc029-1.jpg, what is the equation for f–1(x)?

eviant:

@mhchen

mhchen:

I am unable to open that link. But it looks like you're trying to find the inverse of an equation. Basically if this is your equation: f(x) = ax + b Switch f(x) and x: x = a*f(x) + b and solve for f(x) in your new equation

eviant:

f(x)=1/4 x +3

mhchen:

Is that the equation from the question? I can't open the link just so you know.

eviant:

yes

mhchen:

okay yeah so do this: x = 1/4 f(x) + 3 and solve for f(x) can you do that?

eviant:

how do you solve for f(x)?

mhchen:

okay so you have \[x = \frac{1}{4}f(x) + 3\] right? First get 3 to the left side \[x - 3 = \frac{1}{4}f(x)\]

mhchen:

and then multiply by 4 to get f(x) by itself on the right side \[4(x-3) = f(x)\]

mhchen:

So 4(x-3) is the inverse, or f^-1(x)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!