MathDB

12

Part of 2014-2015 SDML (Middle School)

Problems(1)

Function convolution

Source: 2014-2015 SDML High School 1a Problem 6/2014-2015 SDML Middle School 1a Problem 12

8/28/2016
Let f(x)=x2−14x+52f\left(x\right)=x^2-14x+52 and g(x)=ax+bg\left(x\right)=ax+b, where aa and bb are positive. Find aa, given that f(g(−5))=3f\left(g\left(-5\right)\right)=3 and f(g(0))=103f\left(g\left(0\right)\right)=103.
(A) 2(B) 5(C) 7(D) 10(E) 17\text{(A) }2\qquad\text{(B) }5\qquad\text{(C) }7\qquad\text{(D) }10\qquad\text{(E) }17
functionreal analysis2014-15 SDML Round 1SDML High SchoolSDML Middle School