Please see an attachment for details Image transcription textQuick s #20: Inverse Functions Name: Date: Choose “Answer A” or “Answer B.” Answer A Answer B How can you determine if a graph represents Use the vertical Use the horizontal a function? line test line test 2 How can you determine if the inverse of f(x) Use the horizontal Use the horizontal represents a function? line test on f-1 (x) line test on f(x) 3 Does y = x2 have an inverse that is a function? Yes No Does y = 5x + 1 have an inverse that is a No function? Yes 5 Does y = | x | have an inverse that is a Yes No function? 6 Which notation means the inverse of f(x) ? fox s’ ( x ) 7 What is the inverse of the point (2, 5) ? (-5, -2) (5, 2) 8 What is the inverse of the point (3, 3) ? (-3, -3) (3, 3) When given the graph of a function, in order Switch the x and y Make the x and y to graph the inverse, choose key points, and and plot the new negative and plot then: points the new points 10 On a graph, f(x) and fl (x) will: Be symmetric over Be symmetric over the x-axis the line y = x 1 1 How can you find the inverseof a function Switch x and y. Substitute 0 for x algebraically? Then solve for y. and solve for y. 12 Find the inverse of f(x) = 2x + 5. S’ (x) =x-5 S( x)=x-s 2 13 Find the inverse of f(x) = x2, where x 2 0 f’ (x ) = Vx f ( x) =x 14 What is true about the domains and ranges of The domain of f(x) is The domain of f(x) is inverses? the domain of f-1 (x) the range of f-1 (x) 15 Complete the statement that verifies that f(x) and g (x) are inverses: f(g (x)) = g(f(x) = X (f . g) (x) 16 If f(x) = 3x + 2 and g(x) = x + 6, what is the first step in finding f(g (x)) ? 3 (x+ 6) +2 (3x + 2) + 6 17 If f (x) = 2x 1 land g(x) = x2, what is the first step in finding g (f(x) )? (x?) (2x+1) (2x + 1)? 18 Simplify: 12 2 1 7 + 3 – 3 X Vx + 3… Math Algebra MATH 110 Share (0)

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