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kumpel [21]
2 years ago
9

7. Let f(x)=4x+7 and g(x)=3x-5. Find (g o f )(-4) A. -61 B. -32 C. -9 D. -64

Mathematics
2 answers:
Radda [10]2 years ago
8 0
G( f(-4) )
f(-4) = -16 +7= -9
g(-9) = (3*-9)-5 = -32
NikAS [45]2 years ago
5 0

Answer:

The answer is the option B -32

Step-by-step explanation:

we have

f(x)=4x+7

g(x)=3x-5

we know that

(gof)(x)=g(f(x))

substitute

g(f(x))=3(4x+7)-5

g(f(x))=12x+21-5

g(f(x))=12x+16

Find g(f(-4))

Substitute the value of x=-4 in the equation

g(f(-4))=12(-4)+16

g(f(-4))=-32

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2 years ago
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3 years ago
F^(-2) =<br> fl-4) =<br> ff"(-2)) =
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Answer:The line goes through the points (4,-3) and (0,-2), so its gradient is (-2-(-3))/(0-4) = -1/4. The y-intercept is -2 because f(0)=-2. So the equation of the line is y = -1/4 x - 2.This can be represented by the linear function f(x) = (-1/4)x - 2. The composite function ff is given by ff(x) = f(-1/4 x - 2) = (-1/4)((-1/4)x - 2) - 2 = x/16 - 3/2.HOPE'S THIS HELP'S

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