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DanielleElmas [232]
3 years ago
8

If f(x) = 4 - 2x^2 and g(x) = 2√x what is the value of f(g(x))? (The thing after the number 2 for g(x) is square root of x) A) 4

-16x B) 4-8x C) 4-4x D) 4-2x E) 4-x
Mathematics
1 answer:
Sliva [168]3 years ago
5 0

Answer:

B) 4-8x

Step-by-step explanation:

f(x) = 4 - 2x^2 \\ g(x) = 2\sqrt{x} \\ f(g(x)) = ?\\First - find- g(x)\\f(2\sqrt{x} )\\4-2(2\sqrt{x})^{2}  \\4-2(4x)\\4-8x\\f(g(x))= 4-8x = B

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Answer (<u>assuming it can be in slope-intercept form)</u>:

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Step-by-step explanation:

When knowing the slope of a line and its y-intercept, you can write an equation to represent it in slope-intercept form, or y = mx + b format. Substitute the m and b for real values.

1) First, find the slope of the equation, or m. Pick any two points from the line and substitute their x and y values into the slope formula, m = \frac{y_2-y_1}{x_2-x_1}. I chose the points (0, -1) and (-1, 0):

m = \frac{(0)-(-1)}{(-1)-(0)} \\m = \frac{0+1}{-1-0} \\m = \frac{1}{-1} \\m = -1

Thus, the slope is -1.

2) Now, find the y-intercept, or b. The y-intercept of a line is the point at which the line crosses the y-axis. By reading the graph, we can see that the line intersects the y-axis at the point (0,-1), therefore that must be the y-intercept.  

3) Now, substitute the found values into the y = mx + b formula. Substitute -1 for m and -1 for b:

y = -x  -1

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