Find the indicated composition.f(x) = -5x + 3; g(x) = 6x + 4Find (g ? f)(x).
A. (g ? f)(x) = x + 22
B. (g ? f)(x) = -30x + 23
C. (g ? f)(x) = -30x - 14
D. (g ? f)(x) = -30x + 22
Answer: D
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A. 125
B. 5
C. 25
D. 5
Answer the question.Two angles q and r are complimentary. The angle s is supplementary to q. Write an equation showing the relationship between r and s.
What will be an ideal response?
Find the identical expression for the following.
?
?
A. ?
B. ?
C. ?
D. ?
E. 2
For each integer n ? 3, let P(n) be the equation
(a) Is P(3) true? Justify your answer.
(b) In the inductive step of a proof that P(n) is true for all integers n ? 3, we suppose P(k) is true (this is the inductive hypothesis), and then we show that P(k + 1) is true. Fill in the blanks below to write what we suppose and what we must show for this particular equation.
Proof that for all integers k ? 3, if P(k) is true then P(k + 1) is true:
Let k be any integer that is greater than or equal to 3, and suppose that __________.
We must show that __________.
(c) Finish the proof started in (b) above.