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Korolek [52]
3 years ago
8

Evaluate the indicated function for f(x)=x^2-7 and g(x) =x-2

Mathematics
1 answer:
enyata [817]3 years ago
7 0

Answer:

f(g(x))=(x-2)^2 - 7

(x-2)(x-2) - 7

x^2-2x-2x+4-7

x^2-4x-3

g(f(x))=x^2-2-7

x^2-9

(x+3)(x-3)

Step-by-step explanation:

  1. to solve for f(x), replace x with the g(x).
  2. since we don't multiply a bracket with the negative or the positive signs to the
  3. exponent, you have to factor into two binomials.
  4. use the FOIL method to eliminate the brackets.
  5. add like-terms

  • to find g(x), replace x with the f(x).
  • add like-terms
  • since there's difference of square, factor them into two binomials
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3 years ago
How do you do 56 through 58? Thanks to anyone who awnsers!
astraxan [27]

Hello !

56)

5 {x}^{2}  + 8x =  - 1 \\ 5 {x}^{2}  + 8x + 1 = 0

\Delta =  {b}^{2}  - 4ac \\  =  {8}^{2}  - 4 \times 5 \times 1 \\  = 64 - 20 \\  = 44

The value of the discriminant is 44.

57) ∆>0 : there are two solutions.

58)

x_1 =  \frac{ - b +  \sqrt{\Delta} }{2a}  \\  =   \frac{ - 8 +  \sqrt{44} }{2  \times 5}  \\  =  \frac{ \sqrt{11} - 4 }{5}

x_2 =  \frac{ - b - \sqrt{\Delta} }{2a} \\  =  \frac{ - 8 -  \sqrt{44} }{2 \times 5}   \\  =  \frac{ -  \sqrt{11} - 4 }{5}

Have a nice day

4 0
1 year ago
Read 2 more answers
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