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.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter5: Factoring Polynomials

Section5.4: Multiplying Binomials Mentally

Problem 3E

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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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