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3 years ago

For all the values of x, f(x)=x²+3 g(x)=2x-1 a) find fg(2) b) find gf(2)

Mathematics

1 answer:

erik [133]3 years ago

5 0

Answer:

12 and 13

Step-by-step explanation:

(a)

To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)

g(2) = 2(2) - 1 = 4 - 1 = 3, then

f(3) = 3² + 3 = 9 + 3 = 12

--------------------------------------------

(b)

To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)

f(2) = 2² + 3 = 4 + 3 = 7, then

g(7) = 2(7) - 1 = 14 - 1 = 13

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3 years ago

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Read 2 more answers

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Answer:

The equation of the line is y = -3/7x - 23/7

Step-by-step explanation:

To start we need to find the slope of the original line. We can do this by solving the equation for y.

3x + 7y = 21

7y = -3x + 21

y = -3/7x + 3

Now we know the slope to be -3/7. Since parallel lines have same slopes, we know the new line also will have a -3/7 slope. We can now use that along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

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