Step-by-step explanation:
f(x) = x² + 1, where x >= 0.
Let y be f(x).
=> y = x² + 1
=> x² = y - 1
=> x = √(y - 1) because x is non-negative.
Hence f^-1(x) = √(x - 1), where x >= 1.
Answer:
3
Step-by-step explanation:
3² = 9, so √9 = 3
4² = 16, so √16 = 4.
12 is closer to 9 than to 16, so √12 is closer to √9 than to √16.
√12 ≈ 3 (to the closest integer)
For synthetic division:
1) Write the coefficients of the polynomial under the division symbol, in order. Make sure you include coefficients that are 0, so they may not be written out in the polynomial!
The coefficients are 7, 1, 0 (the coefficient of x), and -4 in that order
2) The divisor is in the form of x - a. The number "a" goes outside the bracket.
a = 5
Since 7, 1, 0, -4 are under the bracket and 5 is outside the bracket, the answer is C.
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Answer: C
