Question

Let f= {(1,2),(2,3),(3,5),(4,7)} What is f ⁻¹ ∘ f

Answer 1

Test of a horizontal line.Suppose f is a function.F does not have an inverse if any horizontal line crosses the graph of f more than once.F does have an inverse if no horizontal line crosses the graph of f more than once

How do you calculate f's inverse?

• Finding a Function's Inverse

• Replace f(x) with y first, then.

• Every x must be replaced with a y, and vice versa.

• Solve the y-part of the equation from step two.

• In place of y, write f1(x) f 1 (x).

• Check that (ff1)(x)=x (f f f 1) (x) = x and (f1f)(x)=x (f f 1 f) (x) = x are both true to validate your work

f= {(1,2),(2,3),(3,5),(4,7)}

Dom(gof)=dom(f)={1,3,4}.

(gof)(1)=g{f(1)}=g(2)=3,

(gof)(3)=g{f(3)}=g(5)=1

(gof)(4)=g{f(4)}=g(1)

∴gof={(1,3),(3,1),(4,3)}.

To learn more about inverse functions refer

brainly.com/question/8665364  

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