Gray H.
asked • 11/21/19how do you write the inverse of 6x + 8y = 13 in f-1(x)
where it says in f-1(x) i mean to say f-1(x)
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1 Expert Answer
Mark M. answered • 11/21/19
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Mathematics Teacher - NCLB Highly Qualified
6x + 8y = 13
8y = 13 - 6x
y = (13 - 6x) / 8
f(x) = (13 - 6x) / 8
x = (13 - 6f-1(x)) / 8
8x = 13 - 6f-1(x)
6f-1(x) + 8x = 13
f-1(x) = (13 - 8x) / 6
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Bob L.
Finding the Inverse of a Function: 1. First, replace f(x) with y . ... 2. Replace every x with a y and replace every y with an x . 3. Solve the equation from Step 2 for y . ... 4. Replace y with f−1(x) f − 1 ( x ) . ... 5. Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.11/23/19