Given that f(z) = 2z + 7 and g is defined by g(x) = f(x - 1), what is the formula for g? %3D %3D The formula for g is identical to the formula for f except a 1 replaces z. g(z) = f(z – 1) g(z) = 2(x – 1)°+7 since f(z) = 2z+ 7 %3D %3D a. Given that f(z) = x² – 90 and that g(x) = f(x – 10), write the formula for g. Be sure to use function notation, and be careful with the placement of parentheses. Preview and that d(z) = p(z – 11), write the formula for d. Be sure to use function notation, and be careful with the 30 b. Given that p(z) %3D placement of parentheses. Preview

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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Given that f(z) = 2z + 7 and g is defined by g(x) = f(x - 1), what is the formula for g?
%3D
%3D
The formula for g is identical to the formula for f except a
1 replaces z.
g(z) = f(z – 1)
g(z) = 2(x – 1)°+7 since f(z) = 2z+ 7
%3D
%3D
a. Given that f(z) = x² – 90 and that g(x) = f(x – 10), write the formula for g. Be sure to use function notation, and be careful with the
placement of parentheses.
Preview
and that d(z) = p(z – 11), write the formula for d. Be sure to use function notation, and be careful with the
30
b. Given that p(z)
%3D
placement of parentheses.
Preview
Transcribed Image Text:Given that f(z) = 2z + 7 and g is defined by g(x) = f(x - 1), what is the formula for g? %3D %3D The formula for g is identical to the formula for f except a 1 replaces z. g(z) = f(z – 1) g(z) = 2(x – 1)°+7 since f(z) = 2z+ 7 %3D %3D a. Given that f(z) = x² – 90 and that g(x) = f(x – 10), write the formula for g. Be sure to use function notation, and be careful with the placement of parentheses. Preview and that d(z) = p(z – 11), write the formula for d. Be sure to use function notation, and be careful with the 30 b. Given that p(z) %3D placement of parentheses. Preview
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