Evaluate fog and gof if f(x)=5x-8 and g(x)= x^3

Mathematics

1 answer:

DerKrebs [107]3 years ago

3 0

Answer:

see explanation

Step-by-step explanation:

note that f ○ g = f(g(x))

To evaluate substitute x = x³ into f(x)

f(g(x)) = f(x³) = 5x³ - 8

In the same way

g ○ f = g(f(x))

To evaluate substitute x = 5x - 8 into g(x)

g(f(x)) = g(5x - 8) = (5x - 8)³

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If (14,25) and (9,-10) are two anchor points on a trend line, then find the equation of the line.

posledela

Answer:

y= 7x-73

Step-by-step explanation:

the equation form is y=mx+c where m is the slope and c a constant

m= (25-(-10))/14-9 = 35/5 = 7

so y= 7x+c

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3 years ago

Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

kaheart [24]

Answer:

$\large\boxed{x\in[-5,\ \infty)}$

Step-by-step explanation:

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