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ANEK [815]
3 years ago
9

If h(x) = x3 + x and g(x) = 2x +3, then g(h(2))

Mathematics
2 answers:
natta225 [31]3 years ago
6 0
They are both equal 22 so it’s equal
vovikov84 [41]3 years ago
3 0

Answer:

They both equal 23 so it’s a true statement

Step-by-step explanation:

h(x) = x3 + x and g(x)

=

h(2) = 2^3 + 2

= 8 + 2

= 10

g(h(2))

= g(10)

= 2*10 + 3

= 20 + 3

= 23

2x +3, then g(h(2))

=

h(2) = 2^3 + 2 = 8+2 = 10

Now we will substitute into g(h(2)

g(h(2)) = g(10)

Now we will substitute into g(x).

g(10) = 2*10 + 3 = 23

g(h(2)) = 23

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Step-by-step explanation: This may look hard but it's actually super easy. All you have to do is substitute a value for x and see what you get as the y value. The first thing I would do is rearrange the equation so that the equation is in the format y = something. So the first thing you should do is subtract 6x from both sides of the equation and you should get -y=-6x+9. Right now, the y is being multiplied by -1, and to undo multiplication, you have to divide. So divide both sides of the equation by -1 (remember, what you do on one side of the equation, YOU HAVE TO DO THE SAME THING ON THE OTHER SIDE). So your new equation would be y=6x-9. Then, all you have to do is substitute a value for x and see what you get for y (x is basically the input and whatever you get for y is the output). S for example, let's say that x=0. So substitute a 0 in the equation wherever you see an x. So in this case, you would get y=(6x0)+9. Then you just simplify. So 6x0 is 0 and 0+9=9 So y=9

TO RECAP: Rearrange the equation so that the equation is in the format y = something. Then, input any number for x, and whatever you get for y is what you put in the brackets as your y value for your final answer.

Hope this helps!

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Step-by-step explanation:

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