The function f(x) = 7x + 5 is one-to-one. a. Find an equation for f, the inverse function. b. Verify that your equation is correct by showing that f(f*x) =x and f((x)) =x. O B. fx) =| for xs Oc. 1)= for all x -1 O D. f (x) = , for x2 b. Verify that the equation is correct. f(t") = fO and Substitute. Simplify. The equation is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 55E
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The function f(x) = 7x +5 is one-to-one.
a. Find an equation for f *, the inverse function.
b. Verify that your equation is correct by showing that f(f (x)) = x andf "((x)) = x.
O B. f(x) =, for xs
Oc. f *(x) =
for all x
O D. f (x) =
for x2
b. Verify that the equation is correct.
f(1 ) = f(O
fx)) =
Substitute.
and
Simplify.
The equation is
Transcribed Image Text:The function f(x) = 7x +5 is one-to-one. a. Find an equation for f *, the inverse function. b. Verify that your equation is correct by showing that f(f (x)) = x andf "((x)) = x. O B. f(x) =, for xs Oc. f *(x) = for all x O D. f (x) = for x2 b. Verify that the equation is correct. f(1 ) = f(O fx)) = Substitute. and Simplify. The equation is
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