Let f(x)=4x+7 and g(x)=3x-5. find (fog)(-4) A. -9 B. -61 C. -32 D. -17

Mathematics

1 answer:

prohojiy [21]3 years ago

3 0

Answer:

B . (fog)(-4) = - 61

Step-by-step explanation:

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

Now, by the COMPOSITE FUNCTION:

(f o g) (x) = f (g(x))

Now here: )f o g) ( -4) = f (g(-4))

<u>Simplifying for g(x) = 3 x - 5</u>

g(-4) = 3 (-4) - 5 = -12 - 5 = -17

or, g (-4) = -17

Now, <u>for f(x) = 4 x + 7 </u>

f ( g(-4)) = f ( -17) = 4 (-17) + 7

= - 68 + 7 = - 61

or, f ( g(-4)) = - 61

Hence, (fog)(-4) = - 61

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