In Exercises 45-48, refer to the following table. The left-hand column of the table lists four errors to avoid in working with function notation. In each case, use the function f(x) = x² - 1 and give a numerical example showing that the expressions on each side of the equation are not equal. Errors to Avoid 45. f(a + b) = f(a) + f(b) 46. f(ab) = f(a) f(b) 47. fl a f(a) = a 1 f(a) Numerical Example Showing That the Equation Is Not, in General, Valid

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 52HP
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I need help with 45.

In Exercises 45-48, refer to the following table. The left-hand
column of the table lists four errors to avoid in working with
function notation. In each case, use the function f(x) = x² - 1
and give a numerical example showing that the expressions on
each side of the equation are not equal.
Errors to Avoid
45. f(a + b) = f(a) + f(b)
46. f(ab) = f(a) f(b)
47. fl
a
f(a)
=
a
1
f(a)
Numerical Example
Showing That the Equation
Is Not, in General, Valid
Transcribed Image Text:In Exercises 45-48, refer to the following table. The left-hand column of the table lists four errors to avoid in working with function notation. In each case, use the function f(x) = x² - 1 and give a numerical example showing that the expressions on each side of the equation are not equal. Errors to Avoid 45. f(a + b) = f(a) + f(b) 46. f(ab) = f(a) f(b) 47. fl a f(a) = a 1 f(a) Numerical Example Showing That the Equation Is Not, in General, Valid
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