Parameters and other expressions can also be substituted into functions as the independent variable.

Evaluate the following functions at the given values of x by substituting the various parameters for x and simplifying.

Transcribed Image Text:

(a) f(x)=2x + 5x +9 at (1) x = a, (2) x = a -3 (1) f(a)=2(a)+5(a)+9 = 2a+5a+9 (2) f(a-3)=2(a-3) + 5(a-3)+9 = = 2(a-3)(a-3)+5(a-3)+9 = 2a2-7a+12 (b) f(x) = x+7x+4 at (1) x = 3a, (2) x = a +5 (1) f(3a)=(3a)+7(3a) +4 = 9a + 21a +4 (2) f(a+5)=(a+5)+7(a +5)+4 (c) f(x)= = x-13 x +4 (1) f(a) = (a+5)(a+5)+7(a +5)+4 = a + 17a +64 a at (1) xa, (2) x = a -2 - 13 a+4