The function f(x) = 7x + 3 is one-to-one. a. Find an equation for f1, the inverse function. b. Verify that your equation is correct by showing that f(f¯¹(x)) =x and f(f(x)) = X. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) O A. f¹(x) = for x ≤ OB. f¹(x) = O c. f¹(x) = OD. f¹(x) = = b. Verify that the equation is correct. f(f¹(x)) || for x # for all x The equation is for x ≥ and f¹₁(f(x)) = f ¹ = Substitute. Simplify.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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The function
f(x)=7x+3
is​ one-to-one.
 
a. Find an equation for
f−1​,
the inverse function.
b. Verify that your equation is correct by showing that
ff−1(x)=x
and
f−1(f(x))=x.
The function f(x) = 7x + 3 is one-to-one.
a. Find an equation for f¹, the inverse function.
1
b. Verify that your equation is correct by showing that f(f(x)) =x and f(f(x)) = X.
a. Select the correct choice below and fill in the answer box(es) to complete your choice.
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
OA. f¹(x) = |
for x ≤
O B. f¹(x) =
O c. f¹(x) =
O D. f¹(x) =
=
=
for x #
b. Verify that the equation is correct.
f(f¹(x))
The equation is
for all x
for x ≥
and
f¹₁(f(x)) = f ¹
Substitute.
Simplify.
(---)
Transcribed Image Text:The function f(x) = 7x + 3 is one-to-one. a. Find an equation for f¹, the inverse function. 1 b. Verify that your equation is correct by showing that f(f(x)) =x and f(f(x)) = X. a. Select the correct choice below and fill in the answer box(es) to complete your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression.) OA. f¹(x) = | for x ≤ O B. f¹(x) = O c. f¹(x) = O D. f¹(x) = = = for x # b. Verify that the equation is correct. f(f¹(x)) The equation is for all x for x ≥ and f¹₁(f(x)) = f ¹ Substitute. Simplify. (---)
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