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IgorC [24]
3 years ago
12

Let f(x) = x + 8 and g(x) = x2 − 6x − 7. Find f(g(2)).

Mathematics
2 answers:
blondinia [14]3 years ago
8 0
F(x) = x + 8
g(x) = x² - 6x - 7

f(g(2)) = ((2)² - 6(2) - 7) + 8
f(g(2)) = (4 - 12 - 7) + 8
f(g(2)) = (-8 - 7) + 8
f(g(2)) = -15 + 8
f(g(2)) = -7
just olya [345]3 years ago
3 0
Mathematical Work:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=(2^2-6(2)-7)+8
f(g(2))=(4-12-7)+8
f(g(2))=-7
Explanation:
f(x)=x+8
g(x)=x2-6x-7
f(g(2))=?
2 was given as the x for function g and when you substitute 2 into function g's equation(g(2)=(2^2-6(2)-7)=-15, you would get -15. The answer to function g would be the x for function f. Which would be f(-15)=-15+8 and the answer for f(g(2)) is -7.
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If I traveled 2269 miles for $328.00 in gas how many miles per gallon
ivanzaharov [21]

Answer:

Step-by-step explanation:

2269 / 328 = 6.9 mpg approximately

5 0
3 years ago
A rectangular prism with dimensions 5 inches by 13 inches by 10 inches was cut to leave a piece as shown in the image. What is t
vesna_86 [32]

Answer:

Volume of the piece in the picture = 350 cubic inches

Volume of the remaining piece = 300 cubic inches

Step-by-step explanation:

Given question is incomplete without the picture; here is the picture as an attachment.

Volume of the rectangular prism = Length × width × height

V = 5 × 13 × 10

  = 650 cubic inches

Now volume of the piece given in the picture = Volume of prism at the base + Volume of the prism with triangular base

= 10×5×1 + (\text{Area of the triangular base})\times (\text{Height})

= 50 + \frac{1}{2}\times (12\times 5)\times 10

= 50 + 300

= 350 cubic inches

Volume of the other piece = 650 - 350

                                            = 300 cubic inches

5 0
3 years ago
How do i get x 0.15x+45=150
crimeas [40]
Subtract 45 on each side so it would be
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then X= 700
3 0
3 years ago
Also need help for this question!! Someone please help
SVEN [57.7K]
Given profit, 
p(t)=0.4t^2+5.3t-8
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7 0
3 years ago
Find the Quotient and Remainder. 5x^3 - 6x^2 + x + 7 divided by x^2
12345 [234]

Step-by-step explanation:

Solution

According to remainder theorem, when f(x) is divided by (x+2), Remainder =f(−2)

f(x)=5x3+2x2−6x+12

f(−2)=5(−2)3+2(−2)2−6(−2)+12

=5×−8+2×4+12+12

=−40+32=−8

∴ Remainder=−8

5 0
2 years ago
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