Step-by-step explanation:
a) fg(x) = f(x²-1) = 2(x²-1) + 3
= 2x² + 1
b) gf(x) = (2x+3)² - 1
= 4x² + 12x + 9 - 1
= 4x² + 12x + 8
c) fg(2) replace the value in a)
fg(2) = 2(2²) + 1
= 9
The measure of the angle x to the nearest hundredth is 22.62 degrees.
<h3>How to find the measure of an angle in a right triangle?</h3>
A right triangle is a triangle that has one of its angles as 90 degrees.
Therefore, the sides or angles can be found using trigonometric ratios, depending on the parameters given.
Hence, using trigonometric ratios,
cos x° = adjacent / hypotenuse
Therefore,
hypotenuse = 13 units
adjacent side = 12 units
Thus,
cos x = 12 / 13
cos x = 0.92307692307
x = cos ⁻¹ 0.92307692307
x = cos¹ 0.92307692307
x = 22.619864948
x = 22.62 degrees
Therefore, the measure of the angle x to the nearest hundredth is 22.62 degrees.
learn more on right triangle here: brainly.com/question/27996575
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Answer:
182
Step-by-step explanation:
Answer:
C. bal(156)
Step-by-step explanation:
In 13 years, there are ...
13 × 12 = 156 . . . months.
So, the balance after the 156th payment is desired. The bal(156) function of a TI-84 graphing calculator will give that value.