MCQ Bank
For f(x) = 2x - 3 and g(x) = x^2 - 1, the composite function (fog)(x) is __________.
- A) 2x^2 -1
- B) 2x^2 +1
- C) 2x^2 - 5
- D) (i) 2x^2 +5
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- A) data:image/png;base64,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 .
- B) data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFYAAAAXCAIAAAAeMC9pAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAIISURBVFhH7Zg/kgFBFIeZGyCX4AicgRsQCiROoMqffJ1AIhJwASeglJBUlUyGcgT71by3U71t2u7sBmbKfMHo97prvPfr190zk73f75n3xtPfNyaVILoE6/W61WoVCgXP82q1Gqb4r9frYDCoVCr4uQb++BNZgs1mk8/nD4fD+XxGiHa7Lf7pdHq73bbbLf5cLhf4EwDb4Y98+Khh0O/3q9WqGgYMRiY1Yk+IBKvVKvsATu32uVwu8/m8Xq/vdjt1GeBHHTVeAeFNJhPCkOCZp+VyqX0POCWwcjYJNOp2u8fjUb1fIA1/SRBqvwJJnkhoE2G5XMZ0ZfQXCQRuTarcXW2fOOQPVhkSFRmFrmWILAGVH2RIdTFS2hCT/B+RjFwSRD4Rer3eaDSiwSk4m81KpZL49/v9cDhcLBYcE5iNRkP8ceB0OnEtFoti2qgUBqJZs9lkV6dh7SW06cIvY4LtMHAGiD8OsC6sBWsSIoEsclkI0iYf17r4P6LXE1wF/Es4GpjL0JNLCJHAAhWIg0lWO1FIRcvR4OJnCYC7UEtqJAdmnvl/nj+8/jWJd4rnjMdjHRoFdutOp0PxgrpcqBQGVuXIQuApSO2EQObsYmr4WbgKOVwC6sfcDjFpSG8ikC3AjJknpQgSUAJIKCci19Cn4JhDtgRvQVLa/Z30w1n61SiVAN5egkzmExQdGx852pjQAAAAAElFTkSuQmCC .
- C) data:image/png;base64,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 .
- D) None of these
For f(x) = 4x^2file:///C:/Users/jamshed/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png and g(x) = 3x - 1, the composite function (fog)(x) is __________.
- A) 36x^2 + 4 + 4x
- B) - 36x^2 + 4 + 24x
- C) 36x^2 - 4 + 4x
- D) 36x^2 + 4 - 24x
Let λ and μ be ordinal numbers and let A and B be two well-ordered sets such that λ = ord(A) and μ = ord(B). Then λ < μ if A is similar to an initial segment of B.
- A) true
- B) false
- C)
- D)