evaluate the following functions.show sulutions
1.Given f(x)=x^2-29,
evaluate at f(x+2)
2.Given f(x)=4x^2-5x+3,
Evaluate at f(x-1)
1.Given f(x)=x^2-29,
evaluate at f(x+2)
2.Given f(x)=4x^2-5x+3,
Evaluate at f(x-1)
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Answer:
1. f(x) = x² - 29 , if x = x + 2.
f(x + 2) = (x + 2)² - 29
f(x + 2) = (x + 2)(x + 2) - 29
f(x + 2) = x² + 2x + 2x + 4 - 29
f(x + 2) = x² + 4x - 25
2. f(x) = 4x² - 5x + 3 , if x = x - 1
f(x - 1) = 4(x - 1)² - 5(x - 1) + 3
f(x - 1) = 4(x - 1)(x - 1) - 5x + 1 + 3
f(x - 1) = 4(x² - 2x + 1) - 5x + 4
f(x - 1) = 4x² - 8x + 1 - 5x + 4
f(x - 1) = 4x² - 8x - 5x + 1 + 4
f(x - 1) = 4x² - 13x + 5