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Dmitriy789 [7]
2 years ago
15

If f(x)=2x-1 and g(x)=x^2-4, what is g(f(x))

Mathematics
1 answer:
lesantik [10]2 years ago
8 0

Answer:

4x^2 - 4x - 3

Step-by-step explanation:

f(x) = 2x - 1

g(x) = x^2 - 4

g(f(x)) = ?

[substitute the x of g(x) with f(x)]

g(x) = x^2 - 4

g(f(x)) = (2x - 1)^2 - 4

[solve]

[binomial * binomial = quadratic equation]

[use FOIL method (first, outer, inner, last)]

g(f(x)) = (2x - 1)(2x - 1) - 4

g(f(x)) = (2x*2x) + (-2x) + (-2x) + (1) - 4

[combine like terms]

g(f(x)) = 4x^2 - 2x - 2x + 1 - 4

g(f(x)) = 4x^2 - 4x - 3

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3 years ago
Use the net to compute the surface area of the three-dimensional figure. A) 210 units B) 225 units C) 240 units D) 280 units
11111nata11111 [884]
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grigory [225]

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divide both sides by 26 to make x the subject

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Step-by-step explanation:

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3 0
3 years ago
Consider the graph of the function f(x)=2x.
77julia77 [94]

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The statement that describes a key feature of function g.

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