Mathematics, 20.09.2020 06:01 jakebuttone

Complete the statements to verify that f(x) = 10x and g(x) = log10x are inverses of each other. f(g(x)) = 10log10x Using the law of logarithms blogbn = , we have that f(g(x)) = . We also need to show that is also equal to x. g(f(x)) = log10(10x) Using the law of logarithms logbbn = , which means that g(f(x)) = x. Therefore, f and g are inverses of each other.

Answers: 3

Show answers

Other questions on the subject: Mathematics

Mathematics, 20.06.2019 18:02, ParallelUniverse

Convert 16 yards to feet use the conversion rate 3 feet = 1 yard

Answers: 2

continue

Mathematics, 21.06.2019 12:30, kadeWayne

Agiven line has the equation 2x + 12y = −1. what is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (0, 9)? y = ( )x + 9

Answers: 1

continue

Mathematics, 21.06.2019 15:00, cal1805p8uo38

Aregular hexagon rotates counterclockwise about its center. it turns through angles greater than 0° and less than or equal to 360°. at how many different angles will the hexagon map onto itself?

Answers: 2

continue

Mathematics, 21.06.2019 18:30, perezsamantha3oqr0za

(05.08a)triangle abc is transformed to similar triangle a′b′c′ below: a coordinate plane is shown. triangle abc has vertices a at 2 comma 6, b at 2 comma 4, and c at 4 comma 4. triangle a prime b prime c prime has vertices a prime at 1 comma 3, b prime at 1 comma 2, and c prime at 2 comma 2. what is the scale factor of dilation? 1 over 2 1 over 3 1 over 4 1 over 5

Answers: 3

continue

You know the right answer?

Complete the statements to verify that f(x) = 10x and g(x) = log10x are inverses of each other. f(g(...