Letf(x) = 4x + 5.Find values for a and b such that the equationf(ax + b) = xis true for all values of x. Hint: Use the fact that if two polynomials (in the variable x) are equal for all values of x, then the corresponding coefficients are equal.
Letf(x) = 4x + 5.Find values for a and b such that the equationf(ax + b) = xis true for all values of x. Hint: Use the fact that if two polynomials (in the variable x) are equal for all values of x, then the corresponding coefficients are equal.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section8.6: Factoring Quadratic Trinomials
Problem 56PFA
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Let
f(x) = 4x + 5.
Find values for a and b such that the equation
f(ax + b) = x
is true for all values of x. Hint: Use the fact that if two polynomials (in the variable x) are equal for all values of x, then the corresponding coefficients are equal.
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