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4 years ago

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]4 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))

Simplifying for g(x) = 3 x - 5

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

or, g (-4) = -17

Now, for f(x) = 4 x + 7

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

= - 68 + 7 = - 61

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

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

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2 years ago

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a = $\frac{1}{2}$ , b = 5, and $\frac{2b}{a}$ = 20

Step-by-step explanation:

f(x) = - x² + b, x ≤ 0 You would use this equation for f(-2). Since -2 is less than 0.

f(x) = - x² + b, x ≤ 0 ← You can ignore the x ≤ 0 part.

f(-2) = - (-2)² + b Input the value -2 as x. The question states that f(-2) =1.

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