Question

If f(x)=x square-2x+5and t=y-2 then f(t)=

Answer 1

Answer:

$y^{2} -6y + 13$

Step-by-step explanation:

Given Equation $f(x) = x^{2} -2x+5$, Find $f(t)$ if $t = y-2$

⇒ $f(t) = (y-2)^{2} -2(y-2) + 5$

Applying $(a-b)^{2} = a^{2} +b^{2} -2ab$

⇒ $f(t) = y^{2} +4 - 4y - 2(y-2) + 5$

⇒ $f(t) = y^{2} + 4 - 4y - 2y+4+5$

⇒ $f(t) = y^{2} -6y + 13$