Is is right? If not, please correct me (:
1 answer:
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Answer:
The function of g(x) = 5x + 2
Step-by-step explanation:
Let us use the composite function to solve the question
∵ f(x) = 2x - 1
∵ f(g(x)) = 10x + 3
→ f(g(x)) means substitute x in f(x) by g(x)
∴ f(g(x)) = 2[g(x)] - 1
→ Equate the two right sides of f(g(x))
∴ 2[g(x)] - 1 = 10x + 3
→ Add 1 to both sides
∴ 2[g(x)] - 1 + 1 = 10x + 3 + 1
∴ 2[g(x)] = 10x + 4
→ Divide each term into both sides by 2
∵ =
+
∴ g(x) = 5x + 2
∴ The function of g(x) = 5x + 2
Answer:
Step-by-step explanation:
Things to remember:
1). When we divide a number having decimal by 10, 100, 1000 or any number multiple of ten, decimal point of the numerator shifts left by the number of zeros present in denominator.
Example:
2). When we multiply a decimal number by 10, 100, or any number number multiple of 10, decimal point of the original number shifts right by number of zeros present in multiplier.
Example: 2.0 × 100 = 200
In this question, 0.014 × 100000 = 1400.000
Therefore, product of 0.014 and 100000 is 1400 because the decimal point in 0.014 moves 5 places to the right.